Solve Quadratics by Factoring Practice

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 and x = 5

Front

Solve by factoring: x² + 15x + 44 = 0

Back

x = -11 and x = -4

Front

Solve by factoring: 5x² - 25x = 5x - 40

Back

x = 4 and x = 2

Front

Solve by factoring: 3x² + 9x - 30 = 0

Back

x = 2 and x = -5

Front

Solve by factoring: x² = 18x - 81

Back

x = 9 and x = 9

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic means expressing it as a product of two binomials.

Front

What are the roots of a quadratic equation?

Back

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

Front

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

Back

For ax² + bx + c = 0, the sum of the roots is -b/a and the product is c/a.

Front

What is the zero-product property?

Back

If ab = 0, then either a = 0 or b = 0.