Imaginary #'s
Polynomials
Rational Functions
Exponentials
Log Properties
100

Simplify:  4i +3i -6i3 + 11i

-6i3+18i

100

What is the maximum amount of zeros this polynomial can have?

f(x) =  9x4 - 1768x2 + 784

Four Zeros

100

What value is not in the domain of 1/x

x = 0

100

What is the initial value of:

1.25 * 3.25x

1.25

100

Simplify:  log (x) + log (y)

log (xy)
200

Simplify:  4i2 + 3i - 8i + 12i2

-16 - 5i
200

What is the vertex of the polynomial

y = -3x2 + 12x -10

(2,2)

200

What is the x-int of the following function

(x+5)/(x2-3x+8)

x=-5

200

What is the growth factor of:

1.6 * 2.8x

2.8

200

ln (x) - ln (y)

ln (x/y)

300

Expand ( 3+ 2i) (3 -2i)

13

300

What are the zeros of the polynomial:


y = x3 +6x2 -19x - 84

Zeros:

x = -7, x = -3 and x = 4

300

Where is the vertical asymptote on the graph of the function:

f(x) = (x^2+5x -10)/ (4+x)

x = -4

300

What is the growth rate of:

0.2 * 4.3x

3.3 or 330%

300
log(x)/5  +  log (y)/2  -   log(z)

log (x1/5y1/2 /z)

400

Expand (5+6i) (2-3i)

28-3i

400

How many different zeros does the polynomial

y = x3 - x2 - 33x -63

Two different zeros

Bounces at x = -3 and goes through the x-axis at x=7

400
Solve for x:

3/(x-2) + 5/(x-4) = 16x/(x2-6x+8)

x = 11/4 or 2.75
400

A $50,000 car depreciates at a rate of 8% a year.  If the car was bought in Jan 1st 2024, what year will it be worth $10,000?

2043

400
3 log x + 2 log y

log (x3y2)

500

How many x-intercepts does the following function have:   (x-(4+3i)) * (x-(3-8i))

Zero

500

The following polynomial has a zero at x = -4 what are the other two zeros?

x3 + 4x2 + 4x + 16

2i, -2i

500

What are the value(s) of the holes on the graph of the function

(x2+2x-24)/(x2-12x+36)

There are no holes in the graph
500

A virus spreads with a growth rate of 300% daily.  If two people have the virus today, how long will it take an entire town of two million people to contract the virus?

Around 10 days

500

What does ln stand for?

Natural Log

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