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 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: 2x² - 3x - 2

Back

(2x + 1)(x - 2)

Front

Factor the expression: x² + 4x + 3

Back

(x + 1)(x + 3)

Front

Factor completely: 5x² - 7x + 2

Back

(5x - 2)(x - 1)

Front

Which of the following is a factor of x² - 10x + 24?

Back

x - 4

Front

Factor the expression: x² + 7x - 30

Back

(x + 10)(x - 3)

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

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

What is the first step in factoring a quadratic expression?

Back

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