Junior Secondary · Mathematics

Factorization: Practice Questions

5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Factorization.

10 questions23 marksFree, no account

Question 1

1 mark

Factorize completely: \(15a^2b - 20ab^2\)

Question 2

1 mark

Factorize the expression \(x^3 + x^2 - 4x - 4\) completely.

Question 3

1 mark

Factorize \(x^2 - y^2 + 10y - 25\) completely.

Question 4

1 mark

Factorize completely: \(4ab + 6ac - 2ad\)

Question 5

1 mark

Factorise completely \(4x^2 - 20x + 25\).

Question 6

2 marks

Factorize completely the algebraic expression \(7x^2y + 21xy^2\).

Write your answer out first, then check it against the worked solution.

Question 7

4 marks

Factorise completely the expression \(x^3 - x^2 - 4x + 4\).

Write your answer out first, then check it against the worked solution.

Question 8

4 marks

Factorise $$27p^3 - 147pq^2$$.

Write your answer out first, then check it against the worked solution.

Question 9

4 marks

Factorise completely each of the following expressions:

(a) \(12pq - 18p^2\)

(b) \(100 - x^2\)

(c) \(y^2 + 10y + 25\)

Write your answer out first, then check it against the worked solution.

Question 10

4 marks

Factorize completely: \( 6x^2 + 11xy - 10y^2 \).

Write your answer out first, then check it against the worked solution.

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