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Factoring All Polynomials

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Factoring All Polynomials
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19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the first step when factoring polynomials?

Find the GCF

List all the terms

Make a triangle

Write the answer

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor:
x2 - 49

(x + 7)(x - 7)

(x + 7)2

(x - 7)2

(x+7)(x-1)

Tags

CCSS.HSA.APR.C.4

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor Completely

5x2-28x+32

(3x-10)(x+6)

(x-8)(5x-4)

(5x-8)(x-4)

(5x-8)(x+7)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor
3v2 - 4v - 7

(3v-7)(v+1)

3(v-7)(v-1)

(3v+1)(v-9)

(3v+1)(v-10)

5.

MATCH QUESTION

1 min • 1 pt

Media Image

Match each polynomial to its factored form.

3x2−4x−153x^2-4x-15

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

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

(x - 3)(3x + 5)

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

(x + 8)(x + 2)

64x2−164x^2-1

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

6.

MATCH QUESTION

1 min • 1 pt

Match each polynomial to its factored form:

(x+4)(x+1)

x2−5x+4x^2-5x+4

(x-4)(x-1)

x2+3x−4x^2+3x-4

(x+4)(x-1)

x2+5x+4x^2+5x+4

(x-4)(x+1)

x2−3x−4x^2-3x-4

7.

DROPDOWN QUESTION

1 min • 1 pt

Factor by grouping to find all real solutions to the equation 16x3−48x2−x+316x^3-48x^2-x+3 .

Step 1 - factor out GCF's: ​ (a)   (x-3)​ (b)   (x-3)

Step 2 - "commons & leftovers" : ​ (x-3) ​ (c)  

Step 3 - factor difference of squares: (x-3)​ (d)  

Step 4 - Solve: ​ (e)  

16x216x^2  

−1-1  

(16x2−1)\left(16x^2-1\right)  

(4x+1)(4x−1)\left(4x+1\right)\left(4x-1\right)  

x =3, ±14x\ =3,\ \pm\frac{1}{4}  

x=±3, ±4x=\pm3,\ \pm4

(8x+1)(2x−1)\left(8x+1\right)\left(2x-1\right)

(x+3)\left(x+3\right)

+1+1

Tags

CCSS.HSF-IF.C.7C

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