Solving Quadratics by Factoring

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of 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.

Front

What are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero.

Front

How do you identify the coefficients in a quadratic equation?

Back

In the equation ax² + bx + c = 0, a is the coefficient of x², b is the coefficient of x, and c is the constant term.

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: 4x² + 11x - 3 = 0

Back

x = 1/4 and x = -3

Front

Solve by factoring: 5x² + 13x + 6 = 0

Back

x = -2 and x = -3/5

Front

Solve by factoring: 2x² - 5x - 12 = 0

Back

x = 4 and x = -3/2

Front

Solve: 14m² - 12m = 0

Back

m = 0 and m = 6/7

Front

Solve by factoring: 3x² + 5x + 2 = 0

Back

x = -2/3 and x = -1