Algebra 2

Imaginary numbers

100

Simplify

Square root of -9

+-3i

200

Simplify

Square root of -192

+-8i on the square root of 3

300

Solve

x²+81=0

x=+-9i

400

Solve

2x²+9=1

x=+-2i

500

Solve

4x²+15=-9

x=+-i on the square root of 6

Factoring Quadratics

100

Factor

x² - 16

(x - 4)(x + 4)

200

Factor

27x⁶+125

(3x²+5)(9x⁴-15x²+25)

300

Factor

4x²+56x-128

(x-2)(x+16)

400

Factor

250x⁷-432x

2x(5x²-6)(25x⁴+30x+36)

500

Factor

24x³-6x²+8x-2

2(4x-1)(3x²+1)

Complex Numbers

100

Simplify

2i(6-7i)

14+12i

200

Simplify

-8i(2+7i)+30i

56+14i

300

Simplify

(1-5i)²-(8-4i)

-6-6i

400

Simplify

(-1+5i)/i

5+i

500

Simplify

-1-8i/1-2i

3-2i

Video Series Qs

100

What term did Gauss want to call imaginary numbers instead

lateral numbers

200

How did mathematicians make money in the past?

Math Duels

300

What type of equation led to the development of imaginary numbers?

a cubic equation

400

Who decided we needed a new set of numbers to solve the square root of negatives issue?

Bombelli

500

Euler decided that writing the square root of negative one all the time is trash, what did he replace it with?

i

Solving Quadratics

100

Solve

x²-64=0

X={+8,-8}

200

Solve

81x²+5=21

x={±4/9}

300

Solve

8x²+1=17

x={+- square root of 2}

400

Solve

9x²+3=111

x={+-2 on the square root of 3}

500

Solve

-1/2x²+1=-39

x={+-4 on the square of 3}