Factoring Polynomials by GCF

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

How do you find the GCF of 56 and 8?

Back

The GCF of 56 and 8 is 8.

Front

Factor the expression: 56a^3 - 8a

Back

8a(7a^2 - 1)

Front

What is the GCF of the terms -28a^6, 20a^4, and -40a^3?

Back

-4a^3

Front

Factor the expression: 4b^5 + 4b^3 + 16b^2

Back

4b^2(b^3 + b + 4)

Front

What is the GCF of the expression 2x^2 - 4x + 8?

Back

2

Front

Factor the expression: 10x + 15

Back

5(2x + 3)

Tags

CCSS.7.EE.A.1

Front

What is the first step in factoring by GCF?

Back

Identify the GCF of all the terms in the expression.

Front

Why is factoring by GCF important?

Back

It simplifies expressions and makes it easier to solve equations.

Front

What does it mean to factor an expression?

Back

To express it as a product of its factors.