Factoring Using GCF

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides all the coefficients of a polynomial without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

Factor the expression: 63 + 45p

Back

9(7 + 5p)

Front

Factor out the GCF from: 3x^3 + 9x

Back

3x(x^2 + 3)

Front

Factor out the GCF from: a^3 + a^2 + a

Back

a(a^2 + a + 1)

Front

Factor out the GCF from: 18x^3 + 81x - 27

Back

9(2x^3 + 9x - 3)

Front

Factor the expression: 16xy - 24y

Back

8y(2x - 3)

Front

What is the first step in factoring using GCF?

Back

Identify the GCF of all the terms in the expression.

Front

Why is factoring out the GCF useful?

Back

It simplifies the expression, making it easier to solve or further factor.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.