Factoring Review

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: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

What is the first step in factoring a quadratic expression?

Back

The first step is to identify the coefficients of the quadratic expression in the form ax² + bx + c.

Front

Factor the expression: k² + 7k + 10

Back

(k + 2)(k + 5)

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down an expression into its simplest factors, including any common factors.

Front

Factor the expression: 3v² - 4v - 7

Back

(3v - 7)(v + 1)

Front

What is a common factor?

Back

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

Front

Factor the expression: 5x² - 15x + 10

Back

5(x - 2)(x - 1)

Front

What is the factored form of 2a³ - 2a²?

Back

2a²(a - 1)