Factoring with Greatest Common Factor

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number 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 they have in common.

Front

Factor the expression: x² - 5x

Back

x(x - 5)

Front

Factor the expression: 12x + 9

Back

3(4x + 3)

Front

What is the first step in factoring an expression?

Back

Identify the GCF of all the terms in the expression.

Front

Factor the expression: 2x² - 8x - 10

Back

2(x - 5)(x + 1)

Front

What does it mean to factor an expression?

Back

To express it as a product of its factors.

Front

Factor the expression: 2x³ - 2x² - 24x

Back

2x(x + 3)(x - 4)

Front

What is a common mistake when factoring?

Back

Forgetting to factor out the GCF first.

Front

Factor the expression: 5x² - 20x + 15

Back

5(x - 1)(x - 3)