Monomial (GCF) Factoring

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables.

Front

What does GCF stand for?

Back

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

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

What is the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6.

Front

What is the first step in factoring out the GCF from an expression?

Back

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

Front

Factor out the GCF from 8x^4 + 12x^3.

Back

4x^3(2x + 3).

Front

What is the GCF of 15x^2 and 25x?

Back

The GCF is 5x.

Front

How do you factor the expression 3x^2 + 6x?

Back

Factor out the GCF: 3x(x + 2).

Front

What is the result of factoring 5x^3 - 10x^2?

Back

5x^2(x - 2).

Front

What is the GCF of the coefficients in the expression 24y^3 + 36y^2?

Back

The GCF of the coefficients 24 and 36 is 12.