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 4x + 30y?

Back

2(2x + 15y)

Front

True or False: 2x + 6 can be factored as 2(x + 3).

Back

True

Front

What is the completely factored form of 16 + 24x?

Back

8(2 + 3x)

Front

What is the factored form of 21x - 36?

Back

3(7x - 12)

Front

What does it mean to factor completely?

Back

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

Front

What is the greatest common factor (GCF) of 12 and 8?

Back

The GCF is 4.

Front

How do you find the GCF of a set of numbers?

Back

List the factors of each number and identify the largest factor that appears in all lists.

Front

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

Back

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