Solve Quadratics by Factoring v2

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

Factor and solve: z^2 − 14z + 45 = 0

Back

z = 5, 9

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation means expressing it as a product of two binomials.

Front

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

Back

x = 0 and x = 6

Front

What are the steps to factor a quadratic equation?

Back

1. Write the equation in standard form. 2. Identify two numbers that multiply to the constant term and add to the linear coefficient. 3. Write the factors as binomials.

Front

Factor and solve: a^2 + 2a − 24 = 0

Back

a = -6, 4

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

Solve using the Zero-Product Property: x^2 + 13x + 12 = 0

Back

x = -12, -1

Front

What is the significance of the solutions of a quadratic equation?

Back

The solutions (or roots) of a quadratic equation represent the x-values where the graph of the equation intersects the x-axis.