Solving Quadratics - Zero Product Property

Front

What is the Zero Product Property?

Back

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

Front

Solve: 16a² - 9 = 0

Back

a = -3/4, 3/4

Front

Solve: 4m² - 100 = 0

Back

m = 5, -5

Front

Solve: x² - 5 = -4

Back

x = 1, -1

Front

Solve: b² - 4/5b + 3 = 0

Back

b = 4/5, b = -3

Front

What is a quadratic equation?

Back

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

Front

What does it mean to factor a quadratic equation?

Back

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

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0.

Front

What are the roots of a quadratic equation?

Back

The values of x that satisfy the equation ax² + bx + c = 0.

Front

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

Back

Set each factor equal to zero and solve for x.