# Worksheet: Factoring Perfect Trinomials

In this worksheet, we will practice identifying and factoring quadratics that are perfect trinomials and completing the factorization.

Q1:

For which values of is a perfect square?

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• D

Q2:

Complete the expression to make a perfect square.

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Q3:

Which of the following is a perfect square?

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• D
• E

Q4:

Complete the quadratic expression to make a perfect square.

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• E

Q5:

If is a perfect square, what is the value of ?

Q6:

Complete the expression to make a perfect square.

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• D
• E

Q7:

Complete the expression to make a perfect square.

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• D
• E

Q8:

If is a perfect square, what is the value of ?

Q9:

Factorise fully .

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• E

Q10:

Factorise fully .

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• E

Q11:

By factorising or otherwise, evaluate .

Q12:

Factorise fully .

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• D
• E

Q13:

Factorise fully .

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• D
• E

Q14:

Complete the expression to make a perfect square.

• A
• B
• C
• D
• E

Q15:

Factorise fully .

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• D
• E

Q16:

Expand and simplify , then factorise the result.

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• E

Q17:

By factorising or otherwise, evaluate .

Q18:

Factorise fully .

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• B
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• D
• E

Q19:

Factorise fully .

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• D
• E

Q20:

Given that , what are the possible values of ?

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• D

Q21:

Factorise fully .

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• E

Q22:

Factorise fully .

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• E

Q23:

Write all possible expressions for such that is a perfect square.

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• D

Q24:

Factorise fully .

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• E

Q25:

Expand and simplify , and then factorise the result completely.

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• C
• D