Algebra- GCF and Factoring Monomials Flashcard

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides each of the given integers 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 the expression using GCF: 2n² - 8n³

Back

2n²(1 - 4n)

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables.

Front

Factor out the GCF from: 10x³ - 15x

Back

5x(2x² - 3)

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

Factor by GCF: 6m² + 16m

Back

2m(3m + 8)

Front

What is the GCF of 12x and 27?

Back

3

Front

Factor the expression: w³ + 3w

Back

w(w² + 3)

Front

What is the first step in factoring by GCF?

Back

Identify the GCF of all the terms in the expression.