Factor by grouping GCF

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

How do you find the GCF of two numbers?

Back

List the factors of each number and identify the largest factor that appears in both lists.

Front

What is the first step in factoring by grouping?

Back

Identify and factor out the GCF from each group of terms.

Front

Factor out the GCF: 3x³ + 9x

Back

3x (x² + 3)

Front

Factor out the GCF: 16xy - 24y

Back

8y (2x - 3)

Front

What does it mean to factor by grouping?

Back

It involves rearranging and grouping terms in a polynomial to factor them into simpler expressions.

Front

Factor by grouping: x³ + 7x² - 2x - 14

Back

(x² - 2)(x + 7)

Front

Factor out the GCF: 21x⁷y⁶ + 30x⁵y⁸ - 18x⁵y⁶

Back

3x⁵y⁶ (7x² + 10y² - 6)

Front

Factor out the GCF: 18x³ + 81x - 27

Back

9 (2x³ + 9x - 3)

Front

What is the purpose of factoring polynomials?

Back

To simplify expressions and solve equations more easily.