Factoring - Practice Test

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 expression?

Back

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

Front

Factor the expression: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression that can be factored into the square of a binomial, such as (a + b)² = a² + 2ab + b².

Front

Factor the expression: n² + 10n + 25

Back

(n + 5)²

Front

What is the difference of squares?

Back

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

Front

Factor the expression: 49x² - 36

Back

(7x + 6)(7x - 6)

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

Factor the expression: 10m² + 15m - 45

Back

5(m + 3)(2m - 3)

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for the greatest common factor (GCF) of all the terms.