Factoring polynomials GCF

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that two or more numbers have in common.

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 polynomial using GCF: 16x² - 20xy

Back

4x(4x - 5y)

Front

Factor the polynomial using GCF: 6m² + 16m

Back

2m(3m + 8)

Front

Factor the polynomial using GCF: 39y⁵ + 12y⁴ - 3y³

Back

3y³(13y² + 4y - 1)

Front

Factor the polynomial using GCF: 18a² - 15a

Back

3a(6a - 5)

Front

Factor the polynomial using GCF: 4b⁵ + 4b³ + 16b²

Back

4b²(b³ + b + 4)

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 using GCF important?

Back

It simplifies expressions and makes it easier to solve equations.

Front

What does it mean to factor a polynomial?

Back

To express the polynomial as a product of its factors.