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

Factor the expression: 12x - 20

Back

4(3x - 5)

Tags

CCSS.7.EE.A.1

Front

Factor the expression: 4x + 30

Back

2(2x + 15)

Tags

CCSS.7.EE.A.1

Front

Factor completely: 16 + 24x

Back

8(2 + 3x)

Tags

CCSS.7.EE.A.1

Front

Can the expression 7x + 47 be factored?

Back

No, it cannot be factored.

Tags

CCSS.7.EE.A.1

Front

Factor completely: 12x + 8y - 4z

Back

4(3x + 2y - z)

Tags

CCSS.7.EE.A.1

Front

What does it mean to factor an expression completely?

Back

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

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as x + 5 or 3x^2 - 2.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, such as x^2 + 5x + 6.