P5.4: Factoring Polys
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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.
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.
3
Match each factored form with its unfactored form.
Match each factored form with its unfactored form.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
(a+b)(a2 - ab + b2) | arrow_right_alt | a2 - b2 |
(a-b)(a2 + ab + b2) | arrow_right_alt | a3 + b3 |
(a+b)(a-b) | arrow_right_alt | a3 - b3 |
1
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.
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.
1
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.
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.
1
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.
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.
1
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.
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.
1
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.
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.
1
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.
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.
1
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.
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.
1
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.
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.
1
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.
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.
1
ReviewMatch the functions with their end behaviors.
(remember to put each polynomial in standard form - decreasing exponents - first!)
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\inftyx\rightarrow -\infty, f(x)\rightarrow\infty
- x\rightarrow\infty, f(x)\rightarrow\inftyx\rightarrow -\infty, f(x)\rightarrow -\infty
- x\rightarrow\infty, f(x)\rightarrow -\inftyx\rightarrow -\infty, f(x)\rightarrow\infty
- x\rightarrow\infty, f(x)\rightarrow -\inftyx\rightarrow -\infty, f(x)\rightarrow -\infty
1
REVIEW
Simplify (3x-2)^{2} - \frac{5x^{3} - 6x}{x}
Write your answer as a polynomial in standard form, no spaces.
REVIEW
Simplify
(3x-2)^{2} - \frac{5x^{3} - 6x}{x}
Write your answer as a polynomial in standard form, no spaces.