Factor with GCF and Factoring By Grouping

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

How do you find the GCF of two terms?

Back

1. List the factors of each term. 2. Identify the largest factor that appears in both lists.

Front

Factor the expression: -4x² + 6x

Back

-2x(2x - 3)

Front

Factor the expression completely: 16y⁸ + 8y⁴

Back

8y⁴(2y⁴ + 1)

Front

Factor the expression completely: 20z⁶ + 10z³

Back

10z³(2z³ + 1)

Front

Factor completely: 2x³ + 4x² + 8x

Back

2x(x² + 2x + 4)

Front

What is the first step in factoring by grouping?

Back

Group the terms in pairs and factor out the common factor from each pair.

Front

What does it mean to factor an expression completely?

Back

To factor an expression completely means to break it down into its simplest factors, where no further factoring is possible.

Front

How do you factor by grouping?

Back

1. Group terms. 2. Factor out the GCF from each group. 3. Factor out the common binomial.

Front

What is the GCF of 10x⁴ and 35x⁵?

Back

5x⁴