# Lesson Worksheet: Factoring Nonmonic Quadratics Mathematics

In this worksheet, we will practice factoring quadratic expressions in the form ax² + bx + c where the coefficient of the leading term is greater than 1.

Q1:

Factorize fully .

• A
• B
• C
• D

Q2:

Factorize fully .

• A
• B
• C
• D
• E

Q3:

Factor .

• A
• B
• C
• D
• E

Q4:

Factor .

• A
• B
• C
• D
• E

Q5:

Factorize fully .

• A
• B
• C
• D
• E

Q6:

Factor .

• A
• B
• C
• D
• E

Q7:

Factorize fully .

• A
• B
• C
• D
• E

Q8:

Complete the following: .

• A8,
• B2,
• C4,
• D8,
• E8,

Q9:

Expand and simplify , then factorize the result.

• A
• B
• C
• D

Q10:

Factorize fully .

• A
• B
• C
• D
• E

Q11:

Complete the following: .

• A,
• B,
• C,
• D,
• E,

Q12:

Factorize fully .

• A
• B
• C
• D
• E

Q13:

Complete the factorization: .

• A
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• C
• D
• E

Q14:

Using factorization, find, in terms of , the dimensions of a rectangle given that its area is cm2, and then find its perimeter when .

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

Q15:

Factorize fully .

• A
• B
• C
• D
• E

Q16:

Complete the following: .

• A,
• B, 2
• C,
• D, 2
• E, 2

Q17:

Expand and simplify , then factorize the result completely.

• A
• B
• C
• D

Q18:

Factorize fully .

• A
• B
• C
• D
• E

Q19:

Factorize fully .

• A
• B
• C
• D

Q20:

Factorize fully .

• A
• B
• C
• D
• E

Q21:

Factorize fully .

• A
• B
• C
• D
• E

Q22:

Which of the following is a factor of ?

• A
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• C
• D
• E

Q23:

Find the value of if .

Q24:

Factorize fully .

• A
• B
• C
• D
• E

Q25:

Factorize fully .

• A
• B
• C
• D
• E