4.1(a) Factoring out a GCF - Lesson Check

Front

What is the greatest common factor (GCF)?

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

What is the GCF of 28 and 49?

Back

7

Front

What is the GCF of 18k and 15k³?

Back

3k

Front

What is the GCF of b⁴ and b⁸?

Back

b⁴

Front

Factor the expression: 6m² + 16m

Back

2m(3m + 8)

Front

Factor the expression: 3x³ + 9x² - 15x

Back

3x(x² + 3x - 5)

Front

What is the first step in factoring by GCF?

Back

Identify the GCF of the terms in the expression.

Front

Why is factoring by GCF important?

Back

It simplifies expressions and makes it easier to solve equations.

Front

What does it mean to factor an expression?

Back

To express it as a product of its factors.