Factoring

Front

What is factoring in algebra?

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

What does it mean to factor completely?

Back

To factor completely means to break down an expression into its simplest factors, such that no further factoring is possible.

Front

Factor the expression: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor the expression: x² + 7x - 30

Back

(x + 10)(x - 3)

Front

Factor the expression: 3x² + 5x - 12

Back

(3x - 4)(x + 3)

Front

Factor the expression: 4b⁵ + 4b³ + 16b²

Back

4b²(b³ + b + 4)

Front

Factor the expression: 2x² + 22x + 60

Back

2(x + 5)(x + 6)

Front

What is the first step in factoring a quadratic expression?

Back

The first step is to look for two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern where a² - b² = (a + b)(a - b).