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Biblioteka

P5.4: Factoring Polys

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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.

Pitanje 1
1.

Match each factored form with its unfactored form.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

(a-b)(a2 + ab + b2)

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a2 - b2

(a+b)(a-b)

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a3 + b3

(a+b)(a2 - ab + b2)

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a3 - b3

Pitanje 2
2.

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.

Pitanje 3
3.

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.

Pitanje 4
4.

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.

Pitanje 5
5.

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.

Pitanje 6
6.

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.

Pitanje 7
7.

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.

Pitanje 8
8.

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.

Pitanje 9
9.

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.

Pitanje 10
10.

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.

Pitanje 11
11.

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

Pitanje 12
12.

REVIEW

Simplify

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

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