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Laabri

P5.4: Factoring Polys

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Last updated over 4 years ago
12 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:
3
1
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1
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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.

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Match each factored form with its unfactored form.

Draggable itemarrow_right_altCorresponding Item

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

arrow_right_alt

a2 - b2

(a+b)(a-b)

arrow_right_alt

a3 + b3

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

arrow_right_alt

a3 - b3

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

REVIEW

Simplify

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

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