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 its roots or solutions.

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

Solve by factoring: x² - 5x + 6 = 0

Back

x = 2 and x = 3

Front

Solve by factoring: x² + 4x - 12 = 0

Back

x = 2 and x = -6

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

How do you find the roots of a quadratic equation?

Back

The roots of a quadratic equation can be found by factoring, using the quadratic formula, or completing the square.

Front

Solve by factoring: 2x² - 8 = 0

Back

x = 2 and x = -2

Front

What is the relationship between the coefficients and the roots of a quadratic equation?

Back

For a quadratic equation ax² + bx + c = 0, the sum of the roots is -b/a and the product of the roots is c/a.

Front

Factor: x² - 9

Back

(x - 3)(x + 3)