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

Factor out the GCF: 10x³ - 15x

Back

5x(2x² - 3)

Front

Factor using GCF: 2n² - 8n³

Back

2n²(1 - 4n)

Front

What is the GCF of 20a²b² and 50b³?

Back

10b²

Front

How many factors does the number 25 have?

Back

3

Front

Expand (x-2)(x-3)

Back

x² - 5x + 6

Front

What is the first step in factoring a polynomial using GCF?

Back

Identify the GCF of all the terms in the polynomial.

Front

What is the result of factoring out the GCF from a polynomial?

Back

The result is a simpler polynomial that can be further factored or solved.