Factoring Expressions

Front

What is factoring in mathematics?

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 factored form of 6p − 36?

Back

6(p − 6)

Front

How do you factor 6x + 12 in simplest form?

Back

6(x + 2)

Front

What is the factored form of 16 + 24x?

Back

8(2 + 3x)

Front

True or False: 2x + 6 = 2(x + 3)

Back

True

Front

What is the factored form of 2x + 18?

Back

2(x + 9)

Front

What does it mean to factor completely?

Back

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

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

How do you identify the greatest common factor (GCF) of 12 and 18?

Back

The GCF of 12 and 18 is 6.

Front

What is the first step in factoring an expression?

Back

The first step is to identify the greatest common factor (GCF) of the terms in the expression.