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 expression?

Back

Factoring a quadratic expression means rewriting it as a product of two binomials.

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 x-intercepts of a quadratic function?

Back

To find the x-intercepts, set the quadratic equation equal to zero and solve for x.

Front

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

Back

The roots of the quadratic equation correspond to the values of x that make each factor equal to zero.

Front

Factor the expression: 49x² - 100

Back

(7x - 10)(7x + 10)

Front

Solve by factoring: 2x² + 7x + 6 = 0

Back

x = -3/2 and x = -2

Front

Solve by factoring: 3x² + 5x + 2 = 0

Back

x = -2/3 and x = -1

Front

What are the x-intercepts of the quadratic function y = x² - 4?

Back

x = 0 and x = 4