4.2(a) Factoring out a GCF - Lesson Check

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers share.

Front

How do you find the GCF of two terms?

Back

To find the GCF of two terms, identify the common factors in their coefficients and variables, and multiply the highest powers of the common variables.

Front

Factor out the GCF from: 5ab²c¹¹ + 2bc⁵

Back

bc⁵(5abc⁶ + 2)

Front

Factor out the GCF from: 2n² - 8n³

Back

2n²(1 - 4n)

Front

Factor out the GCF from: 4b⁵ + 4b³ + 16b²

Back

4b²(b³ + b + 4)

Front

What is the GCF of 10a²b³ and 20a²b²?

Back

10a²b²

Front

Factor out the GCF from: 6m² + 16m

Back

2m(3m + 8)

Front

What is the first step in factoring out a GCF?

Back

Identify the GCF of all the terms in the expression.

Front

Why is factoring out the GCF useful?

Back

Factoring out the GCF simplifies expressions and makes it easier to solve equations.

Front

Factor out the GCF from: 12x³y + 8x²y²

Back

4x²y(3x + 2y)