Lesson 4.5: Factor Expressions

​Lesson 4.5

Factor Expressions​

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​Definitions:

Factor: The opposite of distributing. We will do this by finding out what number divides both of our terms and pull that divisor to the outside of parenthesis.

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Greatest Common Factor: The greatest common factor is the largest possible number that divides both of the terms.​

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Subject | Subject

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​Review: Find the GCF of the terms

​1. 3 and 6

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2. 12 and 24

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3. 100 and 35

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4. 18 and 27

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5. -3 and 9​

​Example: Factor 12x + 10

​Step 1: Find the GCF of both terms

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​Step 2: Divide 12 and 10 by their GCF

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Step 3: Rewrite the GCF on the outside and the two quotients on the inside.​

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Multiple Choice

Factor the expression: 10x + 5

• 5(2x + 5)

• 10(x + 5)

• 5(10x + 5)

• 5(2x + 1)

Multiple Choice

Factor the expression: 6x + 9

• 6(x + 9)

• 9(6x + 1)

• 3(2x + 3)

• 3(2x + 9)

​Example: Factor -4x - 2

Multiple Choice

Factor -10x - 2

• -2(5x + 1)

• 2(5x + 1)

• -2(-5x - 1)

• -2(5x - 1)

Multiple Choice

Factor: -81x + 9

• -9(-9x -9)

• -9(9x - 1)

• -9(9x + 1)

• -9(81x - 1)

​Example: A rectangle has area 240 - 400x. Factor this expression to create the possible dimensions for the rectangle.

​Conclusion: Write two complete sentences about what you learned.