Factoring: GCF also known as Common Monomial Factor

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 72y^5 and 18y^2?

Back

The GCF is 18y^2.

Front

What is the GCF of 28x and 40?

Back

The GCF is 4.

Front

What is a prime polynomial?

Back

A prime polynomial is one that cannot be factored further because the only common factor among its terms is 1.

Front

Factor the expression: w^3 + 3w

Back

w(w^2 + 3).

Front

Factor the expression: 2x + 18

Back

2(x + 9).

Front

What is the first step in finding the GCF of a polynomial?

Back

Identify the common factors of the coefficients and the variables.

Front

If a polynomial has no common factors other than 1, what can we say about it?

Back

It is a prime polynomial.

Front

What is the GCF of the coefficients in the polynomial 72y^5 + 18y^2?

Back

The GCF of the coefficients 72 and 18 is 18.

Front

How do you factor out the GCF from a polynomial?

Back

Divide each term of the polynomial by the GCF and write the result in parentheses.