Factoring Using GCF

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 numbers?

Back

List the factors of each number and identify the largest factor they share.

Front

What is the GCF of 12 and 16?

Back

The GCF is 4.

Front

What is the GCF of 24m^3n^5p, 6mn^4p^2, and 4mn^5?

Back

The GCF is 2mn^4.

Front

How do you factor an expression using the GCF?

Back

1. Find the GCF of all terms. 2. Divide each term by the GCF. 3. Write the expression as GCF multiplied by the result.

Front

Factor 7x + 21 using the GCF.

Back

7(x + 3) is the factored form.

Front

Factor -9x + 33 using the GCF.

Back

3(-3x + 11) is the factored form.

Front

What is the first step in simplifying an expression?

Back

Combine like terms by adding or subtracting coefficients of the same variable.

Front

Simplify the expression: (5x + x^2 - 4) - (4x - x^2 + 6).

Back

The simplified expression is 2x^2 + x - 10.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.