Factoring Expressions

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into simpler components, called 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

How do you factor the expression 6a - 42?

Back

6(a - 7)

Front

What is the factored form of 12x - 36?

Back

12(x - 3)

Front

What is the factored form of 2x - 8?

Back

2(x - 4)

Front

What does it mean to factor an expression completely?

Back

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

Front

How do you identify the GCF of the terms -10m and -35mn?

Back

The GCF is -5m.

Front

What is the factored form of 24x - 36xy + 48y?

Back

12(2x - 3xy + 4y)

Front

What is the first step in factoring an expression?

Back

Identify the GCF of all the terms in the expression.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.