Section 4.1 - Solve Quadratic Equations 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 solve a quadratic equation by factoring?

Back

Solving a quadratic equation by factoring involves expressing the equation in the form (px + q)(rx + s) = 0 and finding the values of x that make each factor equal to zero.

Front

What are the roots of the equation x² + 4x - 32 = 0?

Back

The roots are -8 and 4.

Front

How do you factor the quadratic equation 5x² + 13x + 6 = 0?

Back

The equation factors to (5x + 3)(x + 2) = 0.

Front

What are the roots of the equation 5x² + 13x + 6 = 0?

Back

The roots are -2 and -3/5.

Front

What is the factored form of the equation x² - 9x + 20 = 0?

Back

The equation factors to (x - 4)(x - 5) = 0.

Front

What are the roots of the equation x² - 9x + 20 = 0?

Back

The roots are 4 and 5.

Front

How do you factor the quadratic equation x² - 14x - 51 = 0?

Back

The equation factors to (x + 3)(x - 17) = 0.

Front

What are the roots of the equation x² - 14x - 51 = 0?

Back

The roots are -3 and 17.

Front

What is the factored form of the equation 6x² - x - 2 = 0?

Back

The equation factors to (3x + 2)(2x - 1) = 0.