Factoring by Greatest Common Factor (GCF)

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

How do you find the GCF of two or more numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in all lists.

Front

Factor completely: 5x² + 20

Back

5(x² + 4)

Front

What is the GCF of 12t³, 30t², and 48t?

Back

6t

Front

Factor by using GCF: 8n³ + 2n²

Back

2n²(4n + 1)

Front

Factor: -9x + 33 using the GCF

Back

-3(3x - 11)

Front

Factor: 80x⁵ - 70x² - 60x⁷

Back

10x²(8x³ - 7 - 6x⁵)

Front

What is the first step in factoring by GCF?

Back

Identify the GCF of all the terms in the polynomial.

Front

Why is factoring by GCF important?

Back

It simplifies expressions and makes it easier to solve equations or further factor polynomials.

Front

What does it mean to factor a polynomial completely?

Back

To express the polynomial as a product of its factors, where no factor can be factored further.