P5.4: Factoring Polys

Last updated almost 4 years ago

12 questions

Note from the author:

For more review on difference of squares, watch this video.
For more review on the sum of cubes, watch this video.
For more review on 4-term polynomials, watch this video.

Instructions

For more review on difference of squares, watch this video.
For more review on the sum of cubes, watch this video.
For more review on 4-term polynomials, watch this video.

P5.4: Factoring Polys

Last updated almost 4 years ago

12 questions

Note from the author:

For more review on difference of squares, watch this video.
For more review on the sum of cubes, watch this video.
For more review on 4-term polynomials, watch this video.

Instructions

For more review on difference of squares, watch this video.
For more review on the sum of cubes, watch this video.
For more review on 4-term polynomials, watch this video.

Match each factored form with its unfactored form.

Draggable item		Corresponding Item
(a+b)(a2 - ab + b2)		a2 - b2
(a-b)(a2 + ab + b2)		a3 + b3
(a+b)(a-b)		a3 - b3

Factor the polynomial completely. Make sure to check for a GCF first.

10x^{5}-10x

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

x^{3}+216y^{3}

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

24x^{4}y+375xy^{4}

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

216x^{3}-125

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

x^{3}+x^{2}-20x

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

9x^{4}-12x^{2}+4

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

x^{3}+5x^{2}-x-5

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

This one has 3 linear factors.

Factor the polynomial completely. Make sure to check for a GCF first.

2x^{5}-18x^{4}+7x-63

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first. Then factor as a difference of squares. Be sure to use the variables in the problem.

a7b2 - ab2

Do not include spaces in your answer. List the GCF first, then the binomial factors (minus sign first), then the trinomial factors (minus sign first). Your answer will have 4 pairs of parenthesis.

Review
Match the functions with their end behaviors.

(remember to put each polynomial in standard form - decreasing exponents - first!)

even degree, positive leading coefficient
odd degree, positive leading coefficient
even degree, negative leading coefficient
odd degree, negative leading coefficient
x4 + 3x3 - 6x
3x3 - 6x
6x2 - 3x3
x - 5x2 + 4x4

x\rightarrow\infty, f(x)\rightarrow\infty
x\rightarrow -\infty, f(x)\rightarrow\infty
x\rightarrow\infty, f(x)\rightarrow\infty
x\rightarrow -\infty, f(x)\rightarrow -\infty
x\rightarrow\infty, f(x)\rightarrow -\infty
x\rightarrow -\infty, f(x)\rightarrow\infty
x\rightarrow\infty, f(x)\rightarrow -\infty
x\rightarrow -\infty, f(x)\rightarrow -\infty

P5.4: Factoring Polys

P5.4: Factoring Polys

Match each factored form with its unfactored form.

Factor the polynomial completely. Make sure to check for a GCF first.

10x^{5}-10x

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

x^{3}+216y^{3}

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

24x^{4}y+375xy^{4}

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

216x^{3}-125

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

x^{3}+x^{2}-20x

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

9x^{4}-12x^{2}+4

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

2x^{5}-18x^{4}+7x-63

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Review
Match the functions with their end behaviors.

(remember to put each polynomial in standard form - decreasing exponents - first!)

REVIEW

Simplify
(3x-2)^{2} - \frac{5x^{3} - 6x}{x}

Write your answer as a polynomial in standard form, no spaces.

Match each factored form with its unfactored form.

Factor the polynomial completely. Make sure to check for a GCF first.

10x^{5}-10x

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

x^{3}+216y^{3}

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

24x^{4}y+375xy^{4}

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

216x^{3}-125

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

x^{3}+x^{2}-20x

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

9x^{4}-12x^{2}+4

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

2x^{5}-18x^{4}+7x-63

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Review
Match the functions with their end behaviors.

(remember to put each polynomial in standard form - decreasing exponents - first!)

REVIEW

Simplify
(3x-2)^{2} - \frac{5x^{3} - 6x}{x}

Write your answer as a polynomial in standard form, no spaces.

P5.4: Factoring Polys

P5.4: Factoring Polys

Match each factored form with its unfactored form.

Factor the polynomial completely. Make sure to check for a GCF first.10x^{5}-10xEnter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.x^{3}+216y^{3}Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.24x^{4}y+375xy^{4}Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.216x^{3}-125Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.x^{3}+x^{2}-20xEnter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.9x^{4}-12x^{2}+4Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.x^{3}+5x^{2}-x-5Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.This one has 3 linear factors.

Factor the polynomial completely. Make sure to check for a GCF first.2x^{5}-18x^{4}+7x-63Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

ReviewMatch the functions with their end behaviors.(remember to put each polynomial in standard form - decreasing exponents - first!)

REVIEWSimplify (3x-2)^{2} - \frac{5x^{3} - 6x}{x}Write your answer as a polynomial in standard form, no spaces.

Match each factored form with its unfactored form.

Factor the polynomial completely. Make sure to check for a GCF first.10x^{5}-10xEnter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.x^{3}+216y^{3}Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.24x^{4}y+375xy^{4}Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.216x^{3}-125Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.x^{3}+x^{2}-20xEnter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.9x^{4}-12x^{2}+4Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.x^{3}+5x^{2}-x-5Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.This one has 3 linear factors.

Factor the polynomial completely. Make sure to check for a GCF first.2x^{5}-18x^{4}+7x-63Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

ReviewMatch the functions with their end behaviors.(remember to put each polynomial in standard form - decreasing exponents - first!)

REVIEWSimplify (3x-2)^{2} - \frac{5x^{3} - 6x}{x}Write your answer as a polynomial in standard form, no spaces.

Factor the polynomial completely. Make sure to check for a GCF first.

10x^{5}-10x

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

x^{3}+216y^{3}

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

24x^{4}y+375xy^{4}

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

216x^{3}-125

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

x^{3}+x^{2}-20x

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

9x^{4}-12x^{2}+4

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

2x^{5}-18x^{4}+7x-63

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Review
Match the functions with their end behaviors.

(remember to put each polynomial in standard form - decreasing exponents - first!)

REVIEW

Simplify
(3x-2)^{2} - \frac{5x^{3} - 6x}{x}

Write your answer as a polynomial in standard form, no spaces.

Factor the polynomial completely. Make sure to check for a GCF first.

10x^{5}-10x

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

x^{3}+216y^{3}

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

24x^{4}y+375xy^{4}

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

216x^{3}-125

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

x^{3}+x^{2}-20x

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

9x^{4}-12x^{2}+4

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Factor the polynomial completely. Make sure to check for a GCF first.

2x^{5}-18x^{4}+7x-63

Enter your answer with the GCF first (if any), then binomial factors (if any), then trinomial factors (if any). No spaces. If there are multiple binomials, list the negative first.

Review
Match the functions with their end behaviors.

(remember to put each polynomial in standard form - decreasing exponents - first!)

REVIEW

Simplify
(3x-2)^{2} - \frac{5x^{3} - 6x}{x}

Write your answer as a polynomial in standard form, no spaces.