Exponent Rules
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Dividing Polynomials
Composition of Functions
Inverses
polynomial graphs
100
(wz)^3
(w^3z^3)
100
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
100
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
100
Multiply the Polynomials:
3x2 (2x4)
6x6
100
Use box method to find the result when 3x3+13x2+19x+9 is divided by x+1.
3x2+10x+9
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
(u^5)^0
1
200
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
200
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
200
Multiply the Polynomials:
(x - 3)(x + 2)
x2 - x - 6
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
(x^2)^7
x^14
300
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
300
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
300
Multiply the Polynomials:
(2m - 1)(m + 2)
2m2 + 3m - 2
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
(x^-3)/(y^-1)
y/(x^3)
400
Add the polynomials:
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
400
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
400
Multiply the Polynomials:
(4n - 1)(3n + 4)
12n2 + 13n - 4
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
(x^-2y^3)(x^4y^-1)
x^2y^2
500
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
500
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
500
Multiply the Polynomials:
(d + 3)(d2 - 4d + 1)
d3 - d2 -11d + 3
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
Let f(x) = sqrt(x) – 1 and g(x) = (x + 1)3
Find f–1(g–1(8))
4
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