0. Review of College Algebra

Write the given quadratic equation in standard form. Identify a, b, and c.

$-4x^2+x=8$

Solve the given quadratic equation by factoring.

$3x^2+12x=0$

Solve the given equation by factoring.

$2x^2+7x+6=0$

Solve the given quadratic equation using the square root property.

$\left(x-\frac12\right)^2-5=0$

Solve the given quadratic equation using the square root property.

$2x^2-16=0$

Solve the given quadratic equation using the quadratic formula.

$3x^2+4x+1=0$

Solve the given quadratic equation using the quadratic formula. $2x^2-3x=-3$

Solve the given quadratic equation by completing the square.

$x^2+3x-5=0$

Solve the given quadratic equation by completing the square.

$3x^2-6x-9=0$

CONCEPT PREVIEW Use choices A–D to answer each question.

A. 3x² - 17x - 6 = 0

B.(2x + 5)² = 7

C. x² + x = 12

D. (3x - 1) (x - 7) = 0

Which quadratic equation is set up for direct use of the square root property? Solve it.

Solve each quadratic equation using the zero-factor property. See Example 5.

x² + 2x - 8 = 0

Solve each quadratic equation using the zero-factor property. See Example 5.

9x² - 12x + 4 = 0

Solve each quadratic equation using the quadratic formula. See Example 7.

x² - x - 1 = 0

Solve each quadratic equation using the quadratic formula. See Example 7.

-3x² + 6x + 5 = 0