# Worksheet: Factoring Perfect-Square Trinomials

In this worksheet, we will practice factoring a perfect-square trinomial expression.

Q1:

For which values of is a perfect square?

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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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• E

Q4:

Complete the quadratic expression to make a perfect square.

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Q5:

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

Q6:

Complete the expression to make a perfect square.

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• E

Q7:

Complete the expression to make a perfect square.

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• E

Q8:

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

Q9:

Factorize fully .

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• E

Q10:

Factorize fully .

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Q11:

By factorizing or otherwise, evaluate .

Q12:

Factorize fully .

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Q13:

Factorize fully .

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Q14:

Complete the expression to make a perfect square.

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• E

Q15:

Factorize fully .

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• E

Q16:

Expand and simplify , then factorize the result.

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Q17:

By factorizing or otherwise, evaluate .

Q18:

Factorize fully .

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• E

Q19:

Factorize fully .

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• E

Q20:

Given that , what are the possible values of ?

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Q21:

Factorize fully .

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Q22:

Factorize fully .

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Q23:

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

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Q24:

Factorize fully .

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Q25:

Expand and simplify , and then factorize the result completely.

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• D