Algebra 2--Imaginary/Complex Numbers

Simplifying i's

100

i^3

What is -i

200

i^4

What is 1

300

i^15

What is -i

400

i^61

What is i

500

i⁴³⁰⁰

1

Add/Subtract 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

(5-4i) + (3-2i) - (4+3i)

4 - 9i

Multiplying

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

(7+i)(7-i)

What is 48

500

(6-3i)(3-7i)

-3-51i

Dividing

100

(2+i) / (3-4i)

What is (2+11i)/13

200

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

What is (1+4i)/2

300

1/(2+3i)

What is (2-3i)/13

400

-6/i

What is 6i

500

(5-4i) / (3+2i)

(7-22i) / (13)

Polynomials

100

(x-2)²

x²-4x+4

200

(3x⁴+4x²-8x-12) + (5x³-2x²+12x)

3x⁴+5x³+2x²+4x-12

300

(3x⁴+4x²-8x-12) - (5x³-2x²+12x)

3x⁴-5x³+6x²-20x-12

400

(2x²+4x+7) - (3x²-9+5x)

-x²-x+16

500

(3x²+4x)(5x³-2x²+12x)

15x⁵+14x⁴+28x³+48x²