Ch 5 - Quadratics

Factoring

100

Factor:  9x² + 3x - 18

3(x^2 + x - 6)

200

Factor:  15p³ + 5p

5p(3p² + 1)

300

Factor:  x² - 12x + 32

(x - 8)(x - 4)

400

Factor:  x² - 9

(x + 3)(x - 3)

500

Factor:  2x² + 11x + 12

(2x + 3)(x + 4)

Solve by Factoring or Square Root

100

Solve:  x² + 7x - 18 = 0

x = -9 and x = 2

200

Solve:  2x² + 4x = 6

x = -3 and x = 1

300

Solve:  5x² = 80

x = 4 and x = -4

400

Solve:  x² + 16 = 0

x = 4i and x = -4i

500

Solve:  -4x² = 9

x = 3/2i and x = -3/2i

Solve using Quadratic Formula & Discriminants

100

How many and what type of solution does x² + 4x = -17 have?

2 imaginary solutions

200

How many and what type of solution does 4x² + 4x = -1 have?

1 real solution

300

How many and what type of solution does 3x² = 8x - 4 have?

2 real solutions

400

Solve using the Quadratic Formula:  x² + 55x = 650.

x = 10 and x = -65

500

Solve using the Quadratic Formula: x² - 4x + 12 = 0.

x = 2 + 2iV2 and 2 - 2iV2

Absolute Value or Additive Inverse or Simplifying a Radical

100

Find the absolute value of |6i|.

6

200

Find the absolute value of |-6 + 8i|.

10

300

Find the additive inverse of 4 - 5i.

-4 + 5i

400

Simplify the square root of -48.

4iV3 (4i times the square root of 3)

500

Simplify -3 times the square root of -18.

-9iV2 (-9i times the square root of 2)

Expressions with Complex Numbers

100

Simplify:  (2 + 6i) - (4 - 8i)

-2 + 14i

200

Simplify:  6i(4i - 3)

-24 - 18i

300

Simplify:  (4i)(3i)

-12

400

Simplify:  (4 + 11i) + (3 - 2i)

7 + 9i

500

Simplify:  (4 - 9i)(2 + 6i)

62 + 6i