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 divides two or more numbers.

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 27?

Back

The GCF of 12 and 27 is 3.

Front

What is the GCF of 72y^5 and 18y^2?

Back

The GCF of 72y^5 and 18y^2 is 18y^2.

Front

What is the first step in factoring using GCF?

Back

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

Front

Factor the expression 2x + 18 using GCF.

Back

2(x + 9) is the factored form of 2x + 18.

Front

Factor the expression 2n^2 - 8n^3 using GCF.

Back

2n^2(1 - 4n) is the factored form of 2n^2 - 8n^3.

Front

What is a factor?

Back

A factor is a number or expression that divides another number or expression evenly, without leaving a remainder.

Front

Is 1 a factor of every number?

Back

Yes, 1 is a factor of every number.