Factorization - JSS3 Mathematics Past Questions and Answers - page 1

1

What is the factored form of 4๐‘ฅ+4๐‘ฆ?

A

4(๐‘ฅ+๐‘ฆ)

B

2(๐‘ฅ+๐‘ฆ)

C

2(๐‘ฅโˆ’๐‘ฆ)

D

4(๐‘ฅโˆ’๐‘ฆ)

correct option: a
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2

Factorize the expression 5๐‘š+3๐‘›+5๐‘›+๐‘š๐‘›

A

5(๐‘š+๐‘›)+3๐‘›

B

5(๐‘š+๐‘›)+๐‘š๐‘›

C

5(๐‘š+๐‘›)+8๐‘›

D

5(๐‘š+๐‘›)+3๐‘š๐‘›

correct option: b
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3

What is the factorized form of 16๐‘ฅ^2โˆ’25?

A

(4๐‘ฅโˆ’5)^2

B

(4๐‘ฅ+5)^2

C

(4๐‘ฅโˆ’5)(4๐‘ฅ+5)

D

(4๐‘ฅ+5)(4๐‘ฅโˆ’5)

correct option: c
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4

Factorize the expression ๐‘ฅ^2โˆ’4๐‘ฅ๐‘ฆ+๐‘ฆ^2

A

(๐‘ฅโˆ’๐‘ฆ)^2

B

(๐‘ฅ+๐‘ฆ)^2

C

(๐‘ฅโˆ’๐‘ฆ)(๐‘ฅ+๐‘ฆ)

D

(๐‘ฅ+๐‘ฆ)(๐‘ฅโˆ’๐‘ฆ)

correct option: c
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5

What is the factored form of 9๐‘Ž2โˆ’6๐‘Ž๐‘โˆ’๐‘2?

A

(3๐‘Žโˆ’๐‘)^2

B

(3๐‘Ž+๐‘)^2

C

(3๐‘Žโˆ’๐‘)(3๐‘Ž+๐‘)

D

(3๐‘Ž+๐‘)(3๐‘Žโˆ’๐‘)

correct option: c
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6

Tom's garden has a length ๐ฟ meters and a width ๐‘Š meters. What is the total length of the hedge needed, expressed in terms of ๐ฟ and ๐‘Š?

A

๐ฟ+๐‘Š

B

2๐ฟ+2๐‘Š

C

2(๐ฟ+๐‘Š)

D

๐ฟ+2๐‘Š

correct option: b
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7

Factorize the expression 7๐‘ฅ+7๐‘ฆ.

7๐‘ฅ+7๐‘ฆ=7(๐‘ฅ+๐‘ฆ)

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8

Factorize the expression 4๐‘š+2๐‘›+4๐‘›+2๐‘š๐‘›

Combine like terms first:

4๐‘š+2๐‘›+4๐‘›+2๐‘š๐‘›

=4๐‘š+6๐‘›+2๐‘š๐‘›

 

Factor out common factors:

4๐‘š+6๐‘›+2๐‘š๐‘›

=2(2๐‘š+3๐‘›+๐‘š๐‘›)

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9

Factorize the expression ๐‘ฅ2โˆ’9๐‘ฆ^2

Recognize this as a difference of squares:

๐‘ฅ2โˆ’9๐‘ฆ^2

=(๐‘ฅโˆ’3๐‘ฆ)(๐‘ฅ+3๐‘ฆ)

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10

Factorize the expression ๐‘Ž^2+6๐‘Ž๐‘+9๐‘^2

This expression is a perfect square trinomial:

๐‘Ž^2+6๐‘Ž๐‘+9๐‘^2

=(๐‘Ž+3๐‘)^2

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