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Glencoe Math: Course 2, Volume 2 View details

8. Factor Linear Expressions

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Exercise 4 Page 418

Find the product of the common prime factors.

12(3x+2)

Practice makes perfect

To use the Distributive Property in reverse, we have to find the greatest common factor (GCF) between the terms. 36x&= 2 * 2 * 3 * 3 * x 24&= 2 * 2 * 2 * 3In this case, the GCF is the product of the prime factors. 2 * 2 * 3 = 12 Let's factor out the GCF for our expression.

36x + 24

Rewrite

Rewrite 36x as 12 * 3x

12 * 3x + 24

Rewrite

Rewrite 24 as 12 *2

12 * 3x + 12 *2

FactorOut

Factor out 12

12(3x+2)