Polynomial Operations
Binomial Theorem
Long Division of Polynomials
Composite Functions
Inverse of Functions
100

(8x^2-6x+9)+(-4x^3-9x^2+3)

What is 

-4x^3-x^2-6x+12

100

1 4 6 4 1

What is the 5th line of Pascal's Triangle

100

(3x^2+7x-20) /(x+4)

What is 

3x-5

100

Find 

(f+g)(x) if f(x) = 2x and g(x) = 3

What is 

100

Find the inverse of 

j(x) =(2x+3)/4

What is 

(4x-3)/2

200

(4x^3-2x^2+4x-9)-(9x^3-4x-2x^2-9)

What is 

-5x^3+8x

200

The third term of 

(x-3y)^4

What is 

54x^2y^2

200

(2x^3 -3x^2-18x-8)/(x-4)

What is 

2x^2+5x+2

200

Find 

(f-g)(x) if f(x) = 8x+2 and g(x) = 2x

What is 

6x+2

200

Find the inverse of 

g(x)= root(3)(x+1)-3

What is 

(x+3)^3-1

400

(2x-3)^2

What is 

4x^2-12x+9

400

The sixth term of 

(x+2y)^10

What is 

8064x^5y^5

400

(x^3 +27)/(x+3)

What is 

x^2-3x+9

400

Find 

(f*g)(x) if f(x) = 3x+5 and g(x) = 2x+6

What is 

6x^2+28x+30

400

Find the inverse of

(2x+1)/(x-3)

What is 

(3x+1)/(x-2)?

700

(3x-2)(-7x^2+3x-4)

What is 

-21x^3+23x^2-18x+8

700

Expand 

(a-b)^3

What is 

a^3-3a^2b+3ab^2-b^3

700

(4x^3-6x^2+5)/(x^2-4)

What is

4x-6+(16x-19)/(x^2-4)

700

Find  g(f(x)) if f(x) = 4x+3 and g(x) = 2x^2+1 

What is 

32x^2+48x+19

700

Are they inverses?

f(x)=1/x-2 and g(x) = 1/(x+2)

What is yes.

1000

(x+2)(x^3+3x^2+4x-17)

What is 

x^4+5x^3+10x^2-9x-34

1000

Expand 

(2x -5y)^7

What is 

128x^7-2240x^6y+16800x^5y^2-70000x^4y^3+175000x^3y^4-262500x^2y^5+218750xy^6-78125y^7

1000

(5x^4+14x^3+9x)/(x^2+2x)

What is 

5x^2 +4x-8+25/(x+2)

1000

You work forty hours a week at a furniture store. You receive a $220 weekly salary, plus a 3% commission on sales over $5000. Assume that you sell enough this week to get the commission. Given the function 

f(x) = 0.03x and g(x) = x – 5000, which of (f o g)(x) and (g o f)(x) represents your commission?

What is (f o g)(x)?

1000

Are they inverses?

f(x) = root(3)(5x-1)+4 and g(x) = ((x+4)^3+1)/5

What is no.

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