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 − 11)(5x + 1) = 0

Back

x = 11 or x = -\frac{1}{5}

Front

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

Back

x = \frac{2}{3}, -\frac{1}{2}

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

Back

x = -4 and x = 3

Front

What does it mean to factor a quadratic equation?

Back

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

Front

Solve the equation: \frac{x+4}{-1}=\frac{4}{x}

Back

x = -2

Front

What are the roots of a quadratic equation?

Back

The values of x that satisfy the equation, found by solving ax^2 + bx + c = 0.

Front

How do you check if your solutions to a quadratic equation are correct?

Back

Substitute the solutions back into the original equation to see if they satisfy it.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0.