Misc.
Quadratics
Factoring
Complex Numbers
100

Find the mean, median and mode of the data set {7,8,5,1,18,8,9,14,3}

Mean: 8.11

Median: 8

Mode: 8

100

Solve 4x2-28x+54 with the quadratic formula

(7/2)+(([square root]5)/2)i, (7/2)-(([square root]5)/2)i

100

Factor 16x3+64x2+18x

2x(8x2+32x+9)

100

Solve i4

1

200

Write the equation of a circle with a radius of 3 and a center of (-4,8) 

(x+4)2+(y-8)2=9

200

Find the roots of 3x2-15x+64 with the quadratic formula

(5/2)+(([square root]543)/6)i, (5/2)-(([square root]543)/6)i, 

200

Factor x2-10x+25

(x-5)2

200

What are the solutions to x2=-144

12i and -12i

300

Divide 6x2+7x-20 by 2x+5 using synthetic division 

3x-4

300

Write a quadratic equation with roots 8 and -4

x2-4x-32

300

Factor x2-15x+50

(x-10)(x-5)

300

Solve (10i-18)+(-7i+9)

(3i-9)

400

The half life of X element is 10.5 minutes. If you started with 20g of X element, about how much will be left after 32 minutes to the nearest 10th?

12.6 grams

400

Simplify 4x2-28x+76 with the quadratic formula

(7/2)+((3[square root]3)/2)i, (7/2)-((3[square root]3)/2)i

400

Factor 3x3-76x2+99x

x(3x2-76x+99)

400

Solve (7x+18)2+20=0

-(18/7)+((2[square root]5)/7)i, -(18/7)-((2[square root]5)/7)i

500

Jimothy has $6,000 that he got after his father died. He puts it into his savings account which has an interest of 6.8% compounded quarterly. About how many years will it take for this to grow to $18,000?

6 years

500

find the roots of 4x2+19x-12 using the quadratic formula

(-19+[square root]553)/8 or (-19-[square root]553)/8

500

Find the zeros of 3x3-6x2-45x

x=0, x=5, x=-3

500

Write an equation whose roots are 5+2i and 5-2i

x2-10x+29=0

M
e
n
u