Dividing Polynomials
Composition of Functions
Inverses
polynomial graphs
100
(2x^2y^5 + 10xy -x^7y^3) divide (5x^5y^3)
(2y^2)/(5x^3) + (2x^2)/(y^2) -(x^2)/5
100
f(x) = 3x and g(x) = –4x
Find f[g(x)]
–12x
100
Find f–1(x) if f(x) = 0.5x + 2
2x – 4
100
What is the degree and leading coefficient?
f(x)=-5x^5+3x^3-3x+1
D:5
LC:-5
200
Use box method to find the result when 3x3+4x2-5x-2 is divided by x+2.
3x2 - 2x -1
200
f(x) = 4x – 5 and g(x) = x – 3
Find g[f(2)]
0
200
Find g–1(x) if g(x) = x2 + 5
sqrt(x – 5)
200
Even or odd?
Even
300
Use box method to find the result when x4-2x3-21x2-10x+22 is divided by x+3.
x^3-5x^2-6x+8-2/(x+3)
300
f(x) = 2x – 4 and g(x) = x2 – 3
Find g[f(x)]
4x2 – 16x + 13
300
Find f–1(5) if f(x) = 1/(x+3)
–14/5 or –2.8
300
Positive or Negative?
Positive
400
Use box method to find the result when 3x3+8x2+4x+4 is divided by x+1.
3x^2+5x-1+5/(x+1)
400
f(x) = 3x2 – x + 4 and g(x) = x – 3
Find g[f(-1)]
5
400
Find g–1(x) if g(x) = (2 – x)/(3x + 1)
(2 – x)/(3x + 1)
400
Describe End Behavior
As x 
As x
500
Use box method the result when x4-10x2+11 is divided by x+1.
x^3-x^2-9x+9+2/(x+1)
500
f(x) = 5 + 3x – 3x2 and g(x) = 3 – 2x
Find f[g(f(2))]
–55
500
Verify if the two functions are inverses using compositions
f(x)= (x+1)/3
and
g(x)=3x-1
yes inverses
500
How many total zeros, total real zeros, and complex zeros are there?
Where are the real zeroes located?
4 total
2 real @ x= -3 and x=5
2 complex