#3125 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 5x - 25?

Back

5(x - 5)

Front

True or False: 15x + 6 = 3(5x + 2) is a valid equation.

Back

True

Front

What is the factored form of 21x - 36?

Back

3(7x - 12)

Front

What is the factored form of 7x + 42?

Back

7(x + 6)

Front

What is the greatest common factor (GCF) of 24 and 60?

Back

The GCF is 12.

Front

How do you factor the expression 24 + 60x?

Back

6(4 + 10x)

Front

What is the first step in factoring an expression?

Back

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

Front

What does it mean to factor an expression completely?

Back

To factor an expression completely means to break it down into its simplest factors, with no further factoring possible.

Front

What is the factored form of x^2 - 9?

Back

(x - 3)(x + 3) - This is a difference of squares.