(SAMPLE) Factoring 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 a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c.

Front

What does it mean to factor completely?

Back

To factor completely means to break down an expression into its simplest factors, such that no further factoring is possible.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

How do you find the factors of a quadratic expression?

Back

To find the factors of a quadratic expression, look for two numbers that multiply to give the constant term and add to give the coefficient of the linear term.

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

Factor the expression: x² + 9x - 36

Back

(x + 12)(x - 3)

Front

Identify a factor of the expression: x² - 10x + 24

Back

x - 4

Front

Factor the expression: 5n³ - 10n² + 3n - 6

Back

(5n² + 3)(n - 2)

Front

Factor the expression: x² - 6x + 8

Back

(x - 2)(x - 4)