Factor by GCF and Grouping

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers have in common.

Front

How do you find the GCF of two numbers?

Back

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

Front

What is the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4.

Front

What is the GCF of 30 and 45?

Back

The GCF of 30 and 45 is 15.

Front

What is the first step in factoring by GCF?

Back

The first step in factoring by GCF is to identify the greatest common factor of the terms in the expression.

Front

Factor the expression: 18x^2 + 12x

Back

6x(3x + 2) is the factored form.

Front

What is the purpose of factoring by grouping?

Back

Factoring by grouping is used to simplify polynomials by grouping terms with common factors.

Front

Factor by grouping: x^3 + 3x^2 + 2x + 6

Back

(x^2 + 2)(x + 3) is the factored form.

Front

What is the GCF of 24, 36, and 60?

Back

The GCF of 24, 36, and 60 is 12.

Front

Factor the expression: 4a^2 - 8a

Back

4a(a - 2) is the factored form.