Factoring a linear binomial Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Factoring a linear binomial. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers

Q 1 - Factor the following linear binomial.

26x − 91

A - 13(2x − 7)

B - 13(x − 7)

C - 13(3x − 7)

D - 13(2x − 9)

Answer : A

Explanation

Step 1:

The HCF of 26 and 91 is 13

Step 2:

Factoring the linear binomial

26x – 91 = 13(2x − 7)

Q 2 - Factor the following linear binomial:

5x² + 70

B - 5(2x² + 14)

C - 5(x² + 14)

D - 5(x² + 15)

Answer : C

Explanation

Step 1:

The HCF of 5x² and 70 is 5

Step 2:

Factoring the linear binomial

5x² + 70 = 5(x² + 14)

Q 3 - Factor the following linear binomial:

48x³ − 64

A - 16(x³ – 4)

B - 16(3x³ – 4)

C - 16(4x³ – 3)

D - 16(x³ – 3)

Answer : B

Explanation

Step 1:

The HCF of 48x³ and 64 is 16

Step 2:

Factoring the linear binomial

48x³ – 64 = 16(3x³ – 4)

Q 4 - Factor the following linear binomial:

24x² + 42x

A - 6x (4x² + 7x)

B - 6x (4x + 7x)

C - 6x (4x² + 7)

D - 6x (4x + 7)

Answer : D

Explanation

Step 1:

The HCF of 24x² and 42x is 6x

Step 2:

Factoring the linear binomial

24x² + 42x = 6x (4x + 7)

Q 5 - Factor the following linear binomial:

7x³ – 56x

A - 7 (x² − 8)

B - 7x (x² − 8)

C - 7x (x − 8)

D - 7x (x² − 8x)

Answer : B

Explanation

Step 1:

The HCF of 56x and 7x³ is 7x

Step 2:

Factoring the linear binomial

7x³ – 56x = 7x (x² − 8)

Q 6 - Factor the following linear binomial:

28n − 35n²

A - 7n (4n − 5)

B - 7 (4 − 5n)

C - 7n (4 − 5n)

D - 7n (4n − 5n)

Answer : C

Explanation

Step 1:

The HCF of 28n and 35n² is 7n

Step 2:

Factoring the linear binomial

28n − 35n² = 7n(4 − 5n)

Q 7 - Factor the following linear binomial:

18x – 84x³

A - 6x (3 – 14x²)

B - 6 (3 – 14x²)

C - 6x (3 – 14x)

D - 6x (3x – 14x²)

Answer : A

Explanation

Step 1:

The HCF of 18x and 84x³ is 6x

Step 2:

Factoring the linear binomial

18x – 84x³ = 6x (3 – 14x²)

Q 8 - Factor the following linear binomial:

12y³ + 96y

A - 12y (y² + 8y)

B - 12y (y + 8)

C - 12 (y² + 8)

D - 12y (y² + 8)

Answer : D

Explanation

Step 1:

The HCF of 12y³ and 96y is 12y

Step 2:

Factoring the linear binomial

12y³ + 96y = 12y (y² + 8)

Q 9 - Factor the following linear binomial:

45q² + 72

A - 9 (5q² + 8q)

B - 9 (5q² + 8)

D - 9 (5q² + 9)

Answer : B

Explanation

Step 1:

The HCF of 45q² and 72 is 9

Step 2:

Factoring the linear binomial

45q² + 72 = 9 (5q² + 8)

Q 10 - Factor the following linear binomial:

78z – 52z⁴

A - 26z (3 – 2z³)

B - 26 (3 – 2z³)

C - 26z (3z – 2z³)

D - 26 (3z – 2z³)

Answer : A

Explanation

Step 1:

The HCF of 78z and 52z⁴ is 26z

Step 2:

Factoring the linear binomial

78z – 52z⁴ = 26z (3 – 2z³)

factoring_linear_binomial.htm

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