Factor Linear 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 does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers share.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 28 and 70?

Back

The GCF of 28 and 70 is 14.

Front

What is the GCF of 24, 60, and 48?

Back

The GCF of 24, 60, and 48 is 12.

Front

Write the expression -6x + 15y - 12 in factored form.

Back

The factored form is 3(-2x + 5y - 4).

Front

Write the expression 8x + 16 in factored form.

Back

The factored form is 8(x + 2).

Front

What is the GCF of 48m and 72y?

Back

The GCF of 48m and 72y is 24.

Front

What is a factor?

Back

A factor is a number or expression that divides another number or expression evenly, without leaving a remainder.

Front

What is the difference between factoring and expanding an expression?

Back

Factoring breaks an expression into its factors, while expanding multiplies out the factors to form the original expression.