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 the factored form of a difference of squares?

Back

The factored form of a difference of squares is a² - b² = (a + b)(a - b).

Front

Factor completely: 2x² + 22x + 60

Back

2(x + 5)(x + 6)

Front

Factor: x² + 11x + 24

Back

(x + 8)(x + 3)

Front

Factor: 4b⁵ + 4b³ + 16b²

Back

4b²(b³ + b + 4)

Front

Factor completely: 3x² - 8x + 4

Back

(3x - 2)(x - 2)

Front

Factor: x² - 25

Back

(x + 5)(x - 5)

Front

What is the first step in factoring a quadratic expression?

Back

The first step is to look for a common factor in all terms.

Front

What is the purpose of factoring in solving equations?

Back

Factoring helps to simplify equations and find the roots or solutions of the equation.

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions evenly.