Factoring

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is a factor?

Back

A factor is a number or algebraic expression that divides another number or expression evenly.

Front

Factor the expression: 4b^5 + 4b^3 + 16b^2

Back

4b^2(b^3 + b + 4)

Front

Factor the expression completely: x^2 + 16x + 64

Back

(x + 8)(x + 8)

Front

What are the factors of 25x^2 - 81?

Back

(5x - 9)(5x + 9)

Front

Factor the expression completely: x^2 - 6x + 8

Back

(x - 2)(x - 4)

Front

Factor completely: 8x^3 - 18x

Back

2x(2x + 3)(2x - 3)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern: a^2 - b^2 = (a - b)(a + b).

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression of the form a^2 + 2ab + b^2 = (a + b)^2.

Front

What is the greatest common factor (GCF)?

Back

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