Factorization - JSS3 Mathematics Past Questions and Answers - page 1

1

What is the factored form of 4𝑥+4𝑦?

A

4(𝑥+𝑦)

B

2(𝑥+𝑦)

C

2(𝑥−𝑦)

D

4(𝑥−𝑦)

correct option: a
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2

Factorize the expression 5𝑚+3𝑛+5𝑛+𝑚𝑛

A

5(𝑚+𝑛)+3𝑛

B

5(𝑚+𝑛)+𝑚𝑛

C

5(𝑚+𝑛)+8𝑛

D

5(𝑚+𝑛)+3𝑚𝑛

correct option: b
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3

What is the factorized form of 16𝑥^2−25?

A

(4𝑥−5)^2

B

(4𝑥+5)^2

C

(4𝑥−5)(4𝑥+5)

D

(4𝑥+5)(4𝑥−5)

correct option: c
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4

Factorize the expression 𝑥^2−4𝑥𝑦+𝑦^2

A

(𝑥−𝑦)^2

B

(𝑥+𝑦)^2

C

(𝑥−𝑦)(𝑥+𝑦)

D

(𝑥+𝑦)(𝑥−𝑦)

correct option: c
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5

What is the factored form of 9𝑎2−6𝑎𝑏−𝑏2?

A

(3𝑎−𝑏)^2

B

(3𝑎+𝑏)^2

C

(3𝑎−𝑏)(3𝑎+𝑏)

D

(3𝑎+𝑏)(3𝑎−𝑏)

correct option: c
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6

Tom's garden has a length 𝐿 meters and a width 𝑊 meters. What is the total length of the hedge needed, expressed in terms of 𝐿 and 𝑊?

A

𝐿+𝑊

B

2𝐿+2𝑊

C

2(𝐿+𝑊)

D

𝐿+2𝑊

correct option: b
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7

Factorize the expression 7𝑥+7𝑦.

7𝑥+7𝑦=7(𝑥+𝑦)

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8

Factorize the expression 4𝑚+2𝑛+4𝑛+2𝑚𝑛

Combine like terms first:

4𝑚+2𝑛+4𝑛+2𝑚𝑛

=4𝑚+6𝑛+2𝑚𝑛

 

Factor out common factors:

4𝑚+6𝑛+2𝑚𝑛

=2(2𝑚+3𝑛+𝑚𝑛)

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9

Factorize the expression 𝑥2−9𝑦^2

Recognize this as a difference of squares:

𝑥2−9𝑦^2

=(𝑥−3𝑦)(𝑥+3𝑦)

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10

Factorize the expression 𝑎^2+6𝑎𝑏+9𝑏^2

This expression is a perfect square trinomial:

𝑎^2+6𝑎𝑏+9𝑏^2

=(𝑎+3𝑏)^2

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