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 factors of x² + 11x + 24?

Back

(x + 8)(x + 3)

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to the constant term and add to 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

What are the factors of 4x² - 16x - 9?

Back

(2x - 9)(2x + 1)

Front

How do you solve a quadratic equation by factoring?

Back

To solve a quadratic equation by factoring, set the equation to zero, factor the quadratic, and then use the zero-product property to find the solutions.

Front

What are the factors of 3x² - 17x + 10?

Back

(x - 5)(3x - 2)

Front

What is the standard form of a quadratic equation?

Back

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

Front

What are the factors of x² - 8x - 48?

Back

(x - 12)(x + 4)