# Worksheet: Factoring Quadratics

In this worksheet, we will practice factoring (if possible) quadratic equations with one or two variables as perfect squares, differences of squares, and trinomials.

Q1:

Factorise fully .

• A
• B
• C
• D
• E

Q2:

Factor .

• A
• B
• C
• D
• E

Q3:

Factor .

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• B
• C
• D
• E

Q4:

Factorise fully .

• A
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• D
• E

Q5:

Factorise fully .

• A
• B
• C
• D
• E

Q6:

Complete the following: .

• A2,
• B6,
• C3,
• D6,
• E6,

Q7:

Expand and simplify , then factorise the result.

• A
• B
• C
• D

Q8:

Expand and simplify , then factorise the result.

• A
• B
• C
• D

Q9:

Factorise fully .

• A
• B
• C
• D

Q10:

Factorise fully .

• A
• B
• C
• D
• E

Q11:

Factorise fully .

• A
• B
• C
• D

Q12:

Complete the following: .

• A ,
• B ,
• C ,
• D ,
• E ,

Q13:

Factorise fully .

• A
• B
• C
• D
• E

Q14:

Complete the factorisation: .

• A
• B
• C
• D
• E

Q15:

Complete the following: .

• A , 8,
• B , ,
• C , 8,
• D , ,
• E , 14,

Q16:

Expand and simplify , then factorise the result completely.

• A
• B
• C
• D

Q17:

If and , what is the value of ?

Q18:

The expression can be factorised. Given that is a negative integer, find the set of values of .

• A
• B
• C
• D
• E

Q19:

The area of a rectangle is cm2. Find its dimensions in terms of and its perimeter when .

• A cm, cm, 60 cm
• B cm, cm, 36 cm
• C cm, cm, 32 cm
• D cm, cm, 64 cm

Q20:

Factorise fully .

• A
• B
• C
• D
• E

Q21:

Complete the following: .

• A
• B
• C
• D
• E

Q22:

Factorise fully .

• A
• B
• C
• D

Q23:

Expand and simplify , then factorise the result completely.

• A
• B
• C
• D

Q24:

Factorise fully .

• A
• B
• C
• D

Q25:

Given that the expression can be factorised, what is the set of values of .

• A
• B
• C
• D
• E

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