Unit 10 Solve by Factoring

Front

What is the Zero Product Property (ZPP)?

Back

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

Front

Solve using ZPP: 5x(7x - 3) = 0

Back

x = 0 and x = 3/7

Front

Solve using ZPP: (x + 9)(x - 7) = 0

Back

x = -9 and x = 7

Front

Solve by factoring: 16x² - 25 = 0

Back

x = 4/5 and x = -4/5

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 and x = 5

Front

Solve by factoring: 6x² + 7x - 10 = 0

Back

x = 5/6 and x = -2

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 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, found by solving the equation.