Unit 2 & 1

Powers of i

100

i⁹

i

200

i¹⁸

-1

300

i²⁹

i

400

i¹⁹⁵

-i

500

i⁵⁷²

1

Adding Polynomials

100

(2x+1)+(10x-5)

12x-4

200

(2x²-5x-18)+(3x+9)

2x²-2x-9

300

(7x³-9x+9)+(5x²+8x+15)

7x³+5x²-x+24

400

(3x⁴+2x³-2x²+x+5)+(4x⁴-x³+5x²-2x-4)

7x⁴+x³+3x²-x+1

500

(3x⁵+x⁴+2x³-2x+5)+(2x⁵+3x³+7x+2)

5x⁵+x⁴+5x³+5x+7

Subtracting Polynomials

100

(2x+5)-(2x-5)

10

200

(4x²+2)-(2x²-2)

2x²+4

300

(3x²-2x+1)-(3x²+2x-5)

-4x+6

400

(5x⁴+3x³+2x²+x+5)-(5x⁴+3x³-4x²+2x-6)

6x²-x+11

500

(8x⁶-4x⁵+3x⁴+2x³-6x²+5x+6)-(10x³+2x^2-5x-6)

8x⁶-4x⁵+3x⁴-8x³-8x²+10x+12

Multiplying Polynomials

100

(x-2)(x+1)

x²-x-2

200

(x-3)²

x²-6x+9

300

(x²+3x-2)(x-3)

x³+7x-6

400

(x²-7x+18)(x²+8x-2)

x⁴+x³-40x²+158x-36

500

(-7x²+10-8x⁴+5x-2x³)(-5-x²-7x³+2x-5x⁴)

48x⁸+66x⁷+49x⁶+26x⁵-58x⁴-51x³+35x²-5x-50

Dividing Polynomials

100

(x²+2x-3)÷(x-2)

x+4+(5/x-2)

200

(2x²-8x+6)÷(x+3)

2x-14+(48/x+3)

300

(2x³-6x+2)÷(x-5)

2x²+10x+44+(222/x-5)

400

(4x⁴-2x²+7x-5)÷(x+2)

4x³-8x²+14x-21+(37/x+2)

500

(3x⁶-4x⁵+7x³-2x²+4x-5)÷(x+3)

3x⁵-13x⁴+39x³-110x²+328x-980+(2935/x+3)