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Factoring Polynomials Review

Factoring Polynomials Review

Assessment

Presentation

Mathematics

8th Grade

Practice Problem

Easy

CCSS
6.NS.B.3, HSA.APR.C.4, HSA-SSE.B.3B

+1

Standards-aligned

Created by

Katherine Meis

Used 9+ times

FREE Resource

6 Slides • 9 Questions

1

media

Factoring Polynomials

2

What should I check for first?

1. Difference of Squares
2. Greatest Common Factor (GCF)
3. Basic Trinomial (x2 + bx + c)
4. Grouping Method / AC Method (ax2 + bx + c)

3

Difference of Squares

4

Multiple Choice

Factor: 9x2259x^2-25

1

(3x+5)(3x5)\left(3x+5\right)\left(3x-5\right)

2

(3x+5)2\left(3x+5\right)^2

3

(3x5)2\left(3x-5\right)^2

4

5

Multiple Select

Which of the following are examples of difference of squares?

1

16x2+24x+916x^2+24x+9

2

36x210036x^2-100

3

16x2+4916x^2+49

4

25x28125x^2-81

5

x2+6x+9x^2+6x+9

6

Greatest Common Factor (GCF)

7

Math Response

Factor the polynomial completely.

5x2+30x5x^2+30x

Type answer here
Deg°
Rad

8

Multiple Choice

Katherine was factoring the polynomial 42c215c42c^2-15c but one of the terms got erased. Which of the following could be the missing factor?

___ (14c5)\left(14c-5\right)

1

3c

2

3

3

-3c

4

c-3

9

Basic Trinomial
(x2 + bx + c)

10

Multiple Choice

Which expression is a factor of the following trinomial?

x27x8x^2-7x-8

1

(x+1)\left(x+1\right)

2

(x+8)\left(x+8\right)

3

(x+2)\left(x+2\right)

4

(x4)\left(x-4\right)

11

Multiple Choice

Which function is equivalent to k(x)=x2+2x15k\left(x\right)=x^2+2x-15 ?

1

k(x)=(x+15)(x1)k\left(x\right)=\left(x+15\right)\left(x-1\right)

2

k(x)=(x+1)(x15)k\left(x\right)=\left(x+1\right)\left(x-15\right)

3

k(x)=(x+5)(x3)k\left(x\right)=\left(x+5\right)\left(x-3\right)

4

k(x)=(x+3)(x5)k\left(x\right)=\left(x+3\right)\left(x-5\right)

12

Multiple Choice

Factor the following trinomial.

x2+20x+100x^2+20x+100

1

(x+10)2\left(x+10\right)^2

2

(x10)2\left(x-10\right)^2

3

(x+10)(x10)\left(x+10\right)\left(x-10\right)

4

(x+50)2\left(x+50\right)^2

13

Grouping Method / AC Method (ax2 + bx + c)

14

Math Response

Factor the trinomial completely.

10x217x+610x^2-17x+6

Type answer here
Deg°
Rad

15

Multiple Choice

Which function is equivalent to r(x)=3x213x+12r\left(x\right)=3x^2-13x+12

1

r(x)=(x3)(3x4)r\left(x\right)=\left(x-3\right)\left(3x-4\right)

2

r(x)=(x3)(3x+4)r\left(x\right)=\left(x-3\right)\left(3x+4\right)

3

r(x)=(3x+1)(x+12)r\left(x\right)=\left(3x+1\right)\left(x+12\right)

4

(3x1)(x12)\left(3x-1\right)\left(x-12\right)

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Factoring Polynomials

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