Solve using Factoring and Zero Product Rule

Front

What is the Zero Product Rule?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

Solve for z: z(z - 15) = 0

Back

z = 0 and z = 15

Front

What is the set of solutions for: x² + 8x + 7 = 0?

Back

{-7, -1}

Front

Solve for x: (2x - 1)(x + 4) = 0

Back

x = 1/2 and x = -4

Front

Solve for a by factoring: a² - 2a - 24 = 0

Back

a = 6 and a = -4

Front

Solve by factoring: x² + 3x - 18 = 0

Back

x = 3 and x = -6

Front

What does it mean to factor a quadratic equation?

Back

To express the equation as a product of its linear factors.

Front

What is a quadratic equation?

Back

An equation of the form ax² + bx + c = 0, where a, b, and c are constants.

Front

What are the roots of a quadratic equation?

Back

The values of x that make the equation equal to zero.

Front

How do you find the roots of a quadratic equation using factoring?

Back

Set the equation to zero, factor it, and then set each factor to zero.