Solving Quadratics by Factoring

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation involves rewriting it as a product of two binomials, allowing us to find the values of x that satisfy the equation.

Front

What is the Zero Product Property?

Back

The Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

How do you solve a quadratic equation by factoring?

Back

To solve by factoring, first rewrite the equation in standard form, factor it into two binomials, set each factor equal to zero, and solve for x.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

Solve for x: x² - 9x + 14 = 0

Back

x = 2, 7

Front

Solve for x: 16x² - 9 = 0

Back

x = -3/4, 3/4

Front

Solve for x: x² - 225 = 0

Back

x = -15, 15

Front

Solve for x: x² + 11x + 10 = 0

Back

x = -10, -1

Front

Solve for x: 2x² + 4x - 30 = 0 (Hint: Factor out GCF FIRST!)

Back

x = -5, 3