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

How do you factor 12x - 20?

Back

4(3x - 5)

Front

What is the factored form of 21x - 36?

Back

3(7x - 12)

Front

What is the simplest form of 6x + 12?

Back

6(x + 2)

Front

True or False: 2x + 6 = 2(x + 3)

Back

True

Front

What is the greatest common factor (GCF) of 12 and 20?

Back

The GCF is 4.

Front

What does it mean to factor an expression completely?

Back

Factoring completely means breaking down an expression into its prime factors or irreducible factors.

Front

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

Back

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

Front

How do you factor the expression 15x + 25?

Back

5(3x + 5) - Factor out the GCF.