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 using the Zero-Product Property: 7x(x − 6) = 0

Back

x = 0 or x = 6

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation involves rewriting it as a product of two binomials.

Front

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

Back

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

Front

Factor and Solve: x^2 + 13x + 12 = 0

Back

x = -12 or x = -1

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax^2 + bx + c = 0, where a ≠ 0.

Front

What are the steps to solve a quadratic equation by factoring?

Back

1. Set the equation to zero. 2. Factor the quadratic expression. 3. Apply the Zero-Product Property.

Front

Factor and Solve: a^2 + 2a − 24 = 0

Back

a = -6 or a = 4

Front

What is the standard form of a quadratic equation?

Back

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