Little Bit of Everything

Imaginary & Complex Numbers

100

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

8-i

200

4i(5-2i)

8+20i

300

(-5+3i)(-5-3i)

25-9i

400

(2+3i)²

4+6i

500

(a+bi)²

abi²

Factoring By Grouping

100

9p³+3p²+15p+5

(3p²+5)(3p+1)

200

15xy+6x²-5ny-2nx

(3x-n)(5y+2x)

300

24xy+64x²+42y+112x

2(4x+7)(3y+8)

400

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

(2-x²⁾ or (-x+2)²

500

x⁴(x+y)-y⁴(x+y)

(x²+y²)(x+y)²(x-y)

Complete the Square

100

Solve for x: 4x²+36x+81=25

x=-7 or x=-2

200

Given y-6=x²+4x find the vertex of the equation

(-2,2)

300

x²+10x+c

(x+5)²

400

x²+10x+25=49

x=2 or x=-12

500

Find the vertex given 2x²+12x-23=y+3

(-3,-44)

Quadratic equations using Square Root

100

x²=64

x=+-8

200

-3x²=25/3

+-5/3i

300

(x+1)²-1=-17

x+2=+-5

400

(x+1)²+35=10

x=-1+-5i

500

(x+2)²+20=-5

x=-2+-5i