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 6p - 36?

Back

6(p - 6)

Front

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

Back

True

Front

What is the factored form of 16 + 24x?

Back

8(2 + 3x)

Front

What is the simplest form of 6x + 12?

Back

6(x + 2)

Front

What does it mean to factor completely?

Back

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

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share.

Front

How do you find the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4.

Front

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

Back

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