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 opposite of distributing in algebra?

Back

Factoring is the opposite of distributing.

Front

Factor the expression: 6x + 12

Back

6(x + 2)

Front

Is the expression 3(2x - 4) simplified correctly to 6x - 4?

Back

No, the correct simplification is 6x - 12.

Front

What does it mean to factor completely?

Back

To factor completely means to break down an expression into its simplest factors that cannot be factored further.

Front

Factor the expression: 6x + -3

Back

3(2x - 1)

Front

Can the expression 7x + 48y be factored?

Back

No, it cannot be factored.

Front

What is a common factor?

Back

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

Front

Factor the expression: 12x + 8

Back

4(3x + 2)

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.