Factoring Practice

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 quadratic equation?

Back

The factored form of a quadratic equation is expressed as (ax + b)(cx + d), where a, b, c, and d are constants.

Front

Factor completely: 2x² + 22x + 60

Back

2(x + 5)(x + 6)

Front

What is the difference of squares?

Back

The difference of squares is a special product that states a² - b² = (a - b)(a + b).

Front

Factor completely: 20x³ - 25x² + 4x - 5

Back

(5x² + 1)(4x - 5)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression of the form a² + 2ab + b², which factors to (a + b)².

Front

Factor completely: x³ - 64

Back

(x - 4)(x² + 4x + 16)

Front

What is the sum of cubes formula?

Back

The sum of cubes formula states that a³ + b³ = (a + b)(a² - ab + b²).

Front

Factor completely: 3x² - 8x + 4

Back

(3x - 2)(x - 2)

Front

What is the greatest common factor (GCF)?

Back

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