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 in factoring?

Back

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

Front

How do you factor using GCF?

Back

To factor using GCF, identify the largest common factor of the terms in the expression and factor it out.

Front

Factor the expression: w³ + 3w

Back

w(w² + 3)

Front

Factor the expression: x² - 5x

Back

x(x - 5)

Front

Factor the expression: 2x + 18

Back

2(x + 9)

Front

Factor out the GCF from: 10x³ - 15x

Back

5x(2x² - 3)

Front

Factor the expression: 2n² - 8n³

Back

2n²(1 - 4n)

Front

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

Back

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

Front

Can the expression 3x + 9 be factored? If so, how?

Back

Yes, it can be factored as 3(x + 3).