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 does it mean if an expression cannot be factored?

Back

It means that there are no two or more expressions that can be multiplied together to produce the original expression.

Front

Factor: 7x + 48y

Back

can't be factored

Front

Factor: 3 + 6x

Back

3(1 + 2x)

Front

Factor: 4x + 30y

Back

2(2x + 15y)

Front

Factor: 2x + 18

Back

2(x + 9)

Front

What is the greatest common factor (GCF)?

Back

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

Front

How do you find the GCF of 6 and 18?

Back

The GCF of 6 and 18 is 6.

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 is the first step in factoring a linear expression?

Back

Identify the greatest common factor (GCF) of the terms in the expression.