Algebra 2 Project

Operation of complex numbers

100

(3+4i)+(2+3i)=

(5+7i)

200

(6+7i) - (4+8i) =

(2-1i)

300

(7+6i)(8-5i)=

(86+13i)

400

6-2i/3-2i

22/13 + 6/13i

500

(13-7i)(4+8i)

(108+76i)

Quadratics

100

x²-6x+4=0

x=3+√5, x=3-√5

200

x²-8x+5=0

x=√11+4

x=4-√11

300

x²+9x-8=0

x=√113-9/2

x=-√113-9/2

400

x²-13x+3=0

x=√157+13/2

x=13-√157/2

500

2x²-13x+6=0

x=1/2

x=6

Operations of polynomials

100

(3x²-2x+1) + (2x-1)

3x²

200

(2x²-4x+6) - (3x-2)

2x²-7x+8

300

(5x²-6x+4)(4x+4)

20x³-4x²-8x+16

400

(3x²+2x+7)/(3x-6)

x+8/3 +23/3x-6

500

(6x³-3x²+6x-11)(12x-8)

72x⁴-84x³+96x²-180x+88

Binomial Expansion

100

(2x-3)³=

8x³-36x²+54x-27

200

(3x+2)⁴=

81x⁴+216x³+216x²+96x+16

300

(2x-2)⁵=

x⁵-10x⁴+40x³-80x²+80x-32

400

(x-2)⁶=

x⁶-12x⁵+60x⁴-160x³+240x²-192x+64

500

(2x+1)⁷=

128x⁷+448x⁶+672x⁵+560x⁴+280x³+84x²+14x+1

Rational Root Theorem

100

2x³+3x²+2x+1

x=-1,x=-1/4+i√7/4,x=-1/4-i√7/4

200

 2x³+12x²+22x+12

x=-1,x=-2,x=-3

300

2x³+4x²+5x+3

x=-1,x=-1/2+i√5/2,x=-1/2-i√5/2

400

2x³+4x²+26x+24

x=-1,x=-1/2+i√47/2,x=-1/2-i√47/2

500

2x³+4x²+18x+16

x=-1,x=-1/2+i√31/2,x=-1/2=i√31/2