Factoring Quadratics

Front

What is factoring in mathematics?

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, where a, b, and c are constants.

Front

What are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero. They can be found using factoring, completing the square, or the quadratic formula.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is written as ax² + bx + c = 0.

Front

How do you factor a quadratic expression of the form x² + bx + c?

Back

To factor x² + bx + c, find two numbers that multiply to c and add to b. Then, express the quadratic as (x + m)(x + n), where m and n are those two numbers.

Front

Factor the expression: x² + 11x + 24

Back

(x + 8)(x + 3)

Front

Factor the expression: x² - 10x - 24

Back

(x - 12)(x + 2)

Front

Factor the expression: x² + 10x + 24

Back

(x + 6)(x + 4)

Front

Factor the expression: x² - 14x + 24

Back

(x - 12)(x - 2)

Front

Factor the expression: x² - 10x + 24

Back

(x - 6)(x - 4)