Solve Quadratics by Factoring

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 using the Zero-Product Property: (x + 4)(x − 3) = 0

Back

x = -4 or x = 3

Front

Solve the quadratic equation: 6x^2 - x - 2 = 0

Back

x = 2/3 or x = -1/2

Front

What are the steps to factor a quadratic equation?

Back

1. Write the equation in standard form (ax^2 + bx + c = 0). 2. Find two numbers that multiply to ac and add to b. 3. Rewrite the middle term using these numbers. 4. Factor by grouping.

Front

Solve using the Zero-Product Property: (x − 11)(5x + 1) = 0

Back

x = 11 or x = -1/5

Front

What is a quadratic equation?

Back

An equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

Solve the quadratic equation: 3x^2 + 9x - 30 = 0

Back

x = 2 or x = -5

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 ax^2 + bx + c = 0.

Front

Solve the quadratic equation: 6x^2 - x - 2 = 0

Back

x = 2/3 or x = -1/2