# Worksheet: Factorization Using the Highest Common Factor

In this worksheet, we will practice factoring algebraic expressions by identifying the highest common factor (HCF).

Q1:

Write in the form .

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Q2:

Factor .

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Q3:

Factor .

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Q4:

Factor the expression completely.

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Q5:

Factor completely.

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Q6:

Factor the expression completely.

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Q7:

Factor the expression completely.

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Q8:

Write in the form .

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Q9:

Factor completely.

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Q10:

Factor completely.

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Q11:

Factor completely.

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Q12:

Factor the expression completely.

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Q13:

Factor the expression completely.

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Q14:

Given that , find .

Q15:

Which of the following expressions is equivalent to ?

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Q16:

Write a completely factored expression for the total surface area of a rectangular prism whose dimensions are , , and .

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Q17:

Factor .

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Q18:

Find the greatest common factor of the two terms in this expression: .

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Q19:

What is the greatest common factor of the expression ?

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Q20:

Factorize fully .

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Q21:

Factorize fully .

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Q22:

Factorize fully .

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Q23:

Factor completely.

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Q24:

Using the diagram, factor . • A
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Q25:

Using the diagram, factor . • A
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