 Factoring Polynomials
2 years ago
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Practice 20 QuestionsShow answers
• Question 1
120 seconds
Q.

What is the first step in factoring this problem?

x2 + x - 6

Multiply

List the factors of -6

Factor out the GCF

• Question 2
300 seconds
Q.

Find the factors of

x2 + x - 6

(x - 6)(x - 9)

(x + 3)(x + 2)

(x + 3)(x - 2)

(x + 2)(x + 4)

• Question 3
120 seconds
Q.

What is the first step in factoring this problem?

x2 - 5x - 36

Multiply

List the factors of -36

Factor out the GCF

• Question 4
300 seconds
Q.

Find the factors of

x2 - 5x - 36

(x + 4)(x - 9)

(x - 4)(x + 9)

(x - 9)(x + 6)

(x + 4)(x + 9)

• Question 5
300 seconds
Q.

Find the factors of

5m2 - 45m + 90

3(m + 1)(m + 8)

5(m - 3)(m - 6)

2(m - 7)(m + 3)

5(m - 5)(m + 3)

• Question 6
300 seconds
Q.

Find the factors of

2b2 + 14b - 16

2(b - 1)(b + 8)

6(b - 1)(b - 5)

2(b + 1)(b - 8)

2(b - 1)(b - 8)

• Question 7
120 seconds
Q.

What is the first step in factoring this problem?

5k2 - 18k + 9

List the factors of 9

Multiply

Factor out the GCF

List the factors of 45

• Question 8
300 seconds
Q.

Find the factors of

5k2 - 18k + 9

(5k - 3)(k - 3)

(3k + 5)(k - 10)

(2k - 1)(k + 6)

(5k + 7)(k + 6)

• Question 9
120 seconds
Q.

What is the first step in factoring this problem?

3b2 + 17b + 20

Multiply

List the factors of 20

List the factors of 60

Factor out the GCF

• Question 10
300 seconds
Q.

Find the factors of

3b2 + 17b + 20

(2b - 5)(b - 7)

(5b - 7)(b - 2)

(b + 5)(3b + 4)

(3b + 5)(b + 4)

• Question 11
120 seconds
Q.

What is the first step in factoring this problem?

2x2 + 21x + 10

Multiply

List the factors of 10

List the factors of 20

Factor out the GCF

• Question 12
300 seconds
Q.

Find the factors of

2x2 + 21x + 10

(2x + 1)(x + 10)

(3x + 10)(x - 6)

2(x + 1)(x + 5)

2(x + 1)(x - 10)

• Question 13
120 seconds
Q.

What is the first step in factoring this problem?

5n2 + 11n - 12

Multiply

List the factors of -12

List the factors of -60

Factor out the GCF

• Question 14
300 seconds
Q.

Find the factors of

5n2 + 11n - 12

(n - 4)(5n + 3)

(5n - 4)(n + 3)

(2n - 9)(n - 8)

(3n + 10)(n + 10)

• Question 15
120 seconds
Q.

What is the first step in factoring this problem?

3m2 - 2m - 5

Multiply

Factor out the GCF

List the factors of -5

List the factors of -15

• Question 16
300 seconds
Q.

Find the factors of

3m2 - 2m - 5

(3m + 2)(m - 10)

(3m - 5)(m + 1)

(7m - 10)(m - 3)

(3m + 5)(m - 1)

• Question 17
120 seconds
Q.

What is the first step in factoring this problem?

2m2 + 11m + 12

Multiply

Factor out the GCF

List the factors of 12

List the factors of 24

• Question 18
300 seconds
Q.

Find the factors of

2m2 + 11m + 12

(2m + 3)(m - 4)

2(m + 3)(m - 2)

(2m + 3)(m + 4)

(2m - 3)(m + 4)

• Question 19
180 seconds
Q.

Which problems require you to multiply a * c first?

Select all that apply.

x2 + 7x + 12

2p2 + 11p + 15

m2 - m - 42

10x2 - 2x + 1

h2 + 10x + 21

• Question 20
180 seconds
Q.

Which step is NEVER used when factoring polynomials?

Select all the apply.

Multiplying the first and the last term

Factoring out the GCF

Finding the factors of the middle term

Find the sum of the factors that equal the middle term

Find the square root of the last term

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