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Glencoe Math: Course 2, Volume 2 View details

8. Factor Linear Expressions

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Exercise 29 Page 421

Find the product of the common prime factors.

10(3x-4)

Practice makes perfect

To use the Distributive Property in reverse, we have to find the greatest common factor (GCF) between the terms. 30x&= 2 *3 * 5 * x 40 &= 2 * 2 * 2 * 5In this case, the GCF is the product of the common prime factors. 2 * 5 = 10 Let's factor out the GCF for our expression.

30x-40

Rewrite

Rewrite 30x as 10 * 3x

10 * 3x-40

Rewrite

Rewrite 40 as 10 * 4

10 * 3x-10 * 4

FactorOut

Factor out 10

10(3x-4)