AB-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 for easier solving of the equation.

Front

What is the standard form of a quadratic equation?

Back

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

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 find the roots of a quadratic equation by factoring?

Back

To find the roots by factoring, rewrite the equation in factored form, set each factor equal to zero, and solve for x.

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 the quadratic equation: x² + 2x - 15 = 0

Back

x = 3 or x = -5.

Front

Solve the quadratic equation: -x² - 5x + 6 = 0

Back

x = 2 or x = -3.

Front

Solve the quadratic equation: x² + 7x + 10 = 0

Back

x = -2 or x = -5.

Front

Solve the quadratic equation: x² + 12 = -7x

Back

x = -3 or x = -4.