Factoring Using GCF

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

How do you find the GCF of two or more terms?

Back

To find the GCF, list the factors of each term and identify the largest factor that appears in all lists.

Front

What is the first step in factoring an expression using the GCF?

Back

The first step is to identify the GCF of all the terms in the expression.

Front

Factor the expression: 12x^2 + 8x.

Back

4x(3x + 2).

Front

What is the GCF of the numbers 18 and 24?

Back

The GCF of 18 and 24 is 6.

Front

How do you factor the expression 5x + 15 using the GCF?

Back

The GCF is 5, so you factor it as 5(x + 3).

Front

What is the GCF of the coefficients in the expression 4x^3 + 8x^2 - 12x?

Back

The GCF of the coefficients 4, 8, and -12 is 4.

Front

When factoring using the GCF, what do you do after identifying the GCF?

Back

After identifying the GCF, divide each term of the expression by the GCF and write the expression as the GCF multiplied by the resulting polynomial.

Front

Factor the expression: 6y^2 - 9y.

Back

3y(2y - 3).

Front

What is the GCF of the terms 14a^2b and 21ab^2?

Back

The GCF is 7ab.