Factoring by GCF and Zero product Property

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used to simplify fractions and factor expressions.

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 out the GCF: 4b^5 + 4b^3 + 16b^2

Back

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

Front

Factor out the GCF: 56a^3 - 8a

Back

8a(7a^2 - 1)

Front

Factor out the GCF: 10x^2 + 15x - 5

Back

5(2x^2 + 3x - 1)

Front

Factor out the GCF: 2n^3 + 16n + 12

Back

2(n^3 + 8n + 6)

Front

What is the Zero Product Property?

Back

The Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

Solve for the values of x (Use Zero Product Property): (5x + 2)(x - 9) = 0

Back

x = -\frac{2}{5}, 9

Front

How do you apply the Zero Product Property?

Back

Set each factor equal to zero and solve for the variable.

Front

What is the first step in factoring an expression?

Back

Identify the GCF of all the terms in the expression.