Algebra 2--Quadratics and Complex Numbers

Factor Quadratics

100

x² + 8x + 12 = 0

What is x = -6 or -2

200

Find the discriminant and tell what type of solutions for x² - 18x - 40 = 0

What is x = 20 or -2

300

Factor 16x² - 36x

What is 4x(4x - 9)

400

Factor x² + 14x - 51

What is (x + 17)(x - 3)

500

Factor 5x² - 6x - 8

What is (5x + 4)(x - 2)

Quadratic Formula

100

Solve: x² + 9 = -40

What is 7i or -7i

200

Solve: x² - 8x + 40 = 6

What is 4+3i sqrt(2), 4-3i sqrt(2)

300

Solve: x² + 12x + 64 = -10

-6 + i sqrt(38), -6 - i sqrt(38)

400

Solve: 11x² = -4x - 1

What is (-2 +/- i sqrt{7}) / 11

500

Solve: 6x² + 2 = -4x

What is -1/3 + i sqrt(2) /3 , -1/3 - i sqrt(2) / 3

Add/Subtract/Reduce Complex Numbers

100

(2+3i) + (4+7i)

What is 6+10i

200

(5+6i) + (4-2i)

What is 9 + 4i

300

(6+5i) - (3+2i)

What is 3+3i

400

(2-7i) - (1-4i)

What is 1-3i

500

Reduce: i⁹⁰ + i⁸⁸ + i⁷³

What is i

Multiplying/Dividing Complex

100

(3+2i)(5-i)

What is 17+7i

200

(6+2i)(6-2i)

What is 40

300

(2+3i)(4+7i)

What is -13+26i

400

1/(2+3i)

What is (2-3i)/13

500

(5+3i)/(2-2i)

What is (1+4i)/2

Quadratics (sq. roots)

100

4x² + 5 = 37

x = 2sqrt{2} and -2sqrt{2}

200

(x-3)² + 9 = 30

What is 3 +/- sqrt{21}

300

x² + 12x + 3 = 5

What is -6 +/- sqrt{38}

400

x² - 10x + 5 = 55

What is 5 +/- 5sqrt{3}

500

5(3x - 4)² - 7 = 133

What is (4 +/- 2sqrt{7})/3