Factoring Polynomials Using GCF

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

List the factors of each number and identify the largest factor that appears in both lists.

Front

Factor the expression using GCF: 16x^2 - 20xy

Back

4x(4x - 5y)

Front

Factor the expression using GCF: 6m^2 + 16m

Back

2m(3m + 8)

Front

Factor the expression: x^2 - 5x

Back

x(x - 5)

Front

Factor the expression using GCF: 9x + 27

Back

9(x + 3)

Front

Factor the expression using GCF: 12x + 9

Back

3(4x + 3)

Front

What is the first step in factoring using GCF?

Back

Identify the GCF of all the terms in the polynomial.

Front

Why is factoring important in algebra?

Back

Factoring simplifies expressions and helps solve equations more easily.

Front

What does it mean to factor an expression?

Back

To express the polynomial as a product of its factors.