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Factor Polynomials Algebra

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Factor Polynomials Algebra
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor completely:

x2-4x-32

(x - 8)(x + 4)

(x - 4)(x - 32)

(x + 3)(x - 4)

(x + 2)(x - 6)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor completely:

3x2 + 18x +15

3(x2 + 6x + 5)

(x + 5)(x + 1)

3(x + 5)(x + 1)

Prime

3.

MULTIPLE SELECT QUESTION

1 min • 1 pt

When factored completely, which are factors of: x3 + 27

(x + 3)

(x - 3)

(x2 + 3x + 9)

(x2 - 3x + 9)

(x2 - 3x - 9)

Tags

CCSS.HSA.APR.C.4

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor completely:

3x5 - 6x3 - 72x

3x(x2 - 4)(x2 + 6)

3x(x2 + 4)(x2 - 6)

x(3x2 + 9)(x2 - 8)

x(3x2 - 9)(x2 + 8)

5.

MATCH QUESTION

1 min • 1 pt

Media Image

Match each polynomial to its factored form.

x3+6x2+8x+48x^3+6x^2+8x+48

(x + 8)(x + 2)

64x2−164x^2-1

(8x - 1)(8x + 1)

3x2−4x−153x^2-4x-15

(x - 3)(3x + 5)

x2+10x+16x^2+10x+16

(x2+8)(x+6)\left(x^2+8\right)\left(x+6\right)

6.

MATCH QUESTION

1 min • 1 pt

Match each polynomial with the correct label for factoring.

9x2−64x9x^2-64x

Sum of Two Squares

x3+64x^3+64

Sum of

Two Cubes

9x2+649x^2+64

GCF Only

9x2−649x^2-64

Difference of

Two Squares

64x3−164x^3-1

Difference of

Two Cubes

Tags

CCSS.HSA.APR.C.4

7.

DRAG AND DROP QUESTION

1 min • 1 pt

Complete the steps to solve −x4+14x2−45=0-x^4+14x^2-45=0 by factoring.

−(x4−14x2+45)=0-\left(x^4-14x^2+45\right)=0  

−(x4−14x2−45)=0-\left(x^4-14x^2-45\right)=0

−(x2−9)(x2−5)=0-\left(x^2-9\right)\left(x^2-5\right)=0  

x=±3, ±5x=\pm3,\ \pm\sqrt[]{5}  

x=±3, ±5ix=\pm3,\ \pm\sqrt[]{5}i

Tags

CCSS.HSA-REI.B.4B

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