Factoring Linear Expressions

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

Factor the expression: 12x - 20

Back

4(3x - 5)

Front

Factor the expression: 26s + 39

Back

13(2s + 3)

Front

Factor the expression: -8c - 8

Back

-4(2c + 2)

Front

Factor the expression: 56 - 35p

Back

7(8 - 5p)

Front

Factor the expression: 14x + 20

Back

2(7x + 10)

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest power of the variable is one.

Front

What does it mean to factor an expression completely?

Back

Factoring an expression completely means breaking it down into its simplest factors, with no further factoring possible.

Front

What is the difference between factoring and expanding an expression?

Back

Factoring involves breaking down an expression into products, while expanding involves multiplying out the factors to get the original expression.