Distributing and Factoring

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 factor an expression using the GCF?

Back

1. Find the GCF of the coefficients. 2. Divide each term by the GCF. 3. Write the expression as the GCF multiplied by the simplified expression.

Front

Factor the expression: 36x - 28

Back

4(9x - 7)

Front

Factor the expression: 16x + 56y

Back

8(2x + 7y)

Front

Factor the expression: 63p - 18

Back

9(7p - 2)

Front

What does it mean if an expression can't be factored?

Back

It means that there are no common factors other than 1, or it is already in its simplest form.

Front

Factor the expression: 7x + 48y

Back

can't be factored

Front

Back

2x - 3

Front

What is the first step in factoring an expression?

Back

Identify the GCF of all the terms in the expression.

Front

What is a common mistake when factoring?

Back

Forgetting to check if the expression can be factored further after finding the GCF.