Factoring by GCF

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more 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 they have in common.

Front

Factor the expression: 9x + 3

Back

3(3x + 1)

Front

Factor the expression: -6y + 36

Back

-6(y - 6)

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 the expression: 80x^5 - 70x^2 - 60x^7

Back

10x^2(8x^3 - 7 - 6x^5)

Front

What is a common factor?

Back

A common factor is a number that divides two or more numbers evenly.

Front

Factor the expression: 36a^5bc - 12c

Back

12c(3a^5b - 1)

Front

What is the first step in factoring by GCF?

Back

Identify the GCF of all the terms in the expression.

Front

Factor the expression: p^2 - 14p

Back

p(p - 14)