GCF & GROUPING

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

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

Front

Factor by GCF: 56a³ - 8a

Back

8a(7a² - 1)

Front

Factor by GCF: 18a² - 15a

Back

3a(6a - 5)

Front

Factor by GCF: 8n³ + 2n²

Back

2n²(4n + 1)

Front

What is factoring by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor it into simpler expressions.

Front

Factor by grouping: 5n³ - 10n² + 3n - 6

Back

(5n² + 3)(n - 2)

Front

What is the first step in factoring by GCF?

Back

Identify the GCF of all the terms in the polynomial.

Front

Factor by GCF: 30x³ + 15x² - 18x - 9

Back

3(5x² - 3)(2x + 1)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.