Factor GCF

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

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

Front

Factor the expression: 10x² + 15x - 5

Back

5(2x² + 3x - 1)

Front

What is the first step in factoring an expression?

Back

The first step is to identify the GCF of all the terms in the expression.

Front

Factor the expression: 80x⁵ - 70x² - 60x⁷

Back

10x²(8x³ - 7 - 6x⁵)

Front

What does it mean to factor an expression?

Back

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

Front

Factor the expression: 4b⁵ + 4b³ + 16b²

Back

4b²(b³ + b + 4)

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Tags

CCSS.6.EE.A.3

Front

Factor the expression: 56a³ - 8a

Back

8a(7a² - 1)

Front

What is a polynomial?

Back

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