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 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

Factor the expression: 2y + 2

Back

2(y + 1)

Front

Can the expression 7x + 47 be factored?

Back

No, it cannot be factored.

Front

Factor completely: 12x + 8y - 4z

Back

4(3x + 2y - z)

Front

Factor the expression: -21x + 35

Back

7(-3x + 5)

Front

Factor the expression: 7x - 63

Back

7(x - 9)

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 find the GCF of 12 and 8?

Back

The GCF of 12 and 8 is 4.

Front

What is a binomial expression?

Back

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