Factoring 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 factored form of 6x + -3?

Back

3(2x + -1)

Front

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

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 is the factored form of 4x + 30y?

Back

2(2x + 15y)

Front

What is the factored form of -3 + 6x?

Back

-3(1 + 2x)

Front

What does it mean to factor completely?

Back

To factor completely means to break down an expression into its simplest factors, such that 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 evenly.

Front

How do you identify the greatest common factor (GCF) of 6 and 12?

Back

The GCF of 6 and 12 is 6.

Front

What is the first step in factoring an expression?

Back

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