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

How do you apply the Zero-Product Property to solve (x − 11)(5x + 1) = 0?

Back

Set each factor equal to zero: x - 11 = 0 or 5x + 1 = 0, leading to solutions x = 11 or x = -1/5.

Front

What are the solutions to the equation (x + 4)(x − 3) = 0?

Back

The solutions are x = -4 and x = 3.

Front

How do you factor the quadratic equation 6x² - x - 2 = 0?

Back

The equation can be factored as (3x + 2)(2x - 1) = 0.

Front

What are the solutions to the equation 6x² - x - 2 = 0?

Back

The solutions are x = 2/3 and x = -1/2.

Front

How do you factor the quadratic equation 3x² + 9x - 30 = 0?

Back

The equation can be factored as 3(x + 5)(x - 2) = 0.

Front

What are the solutions to the equation 3x² + 9x - 30 = 0?

Back

The solutions are x = 2 and x = -5.

Front

How do you factor the quadratic equation x² + 4x - 32 = 0?

Back

The equation can be factored as (x + 8)(x - 4) = 0.

Front

What are the solutions to the equation x² + 4x - 32 = 0?

Back

The solutions are x = -8 and x = 4.

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.