Polynomial Arithmetic
Finding Intercepts
Polynomial graphs
Arithmetic Geometric or Neither? Rate of change or Growth Factor?
Recursive and Explicit Equations
100
Multiply the Polynomials:
3x2 (2x4)
6x6
100
Find the y intercept for the following polynomial:
3x3+13x2+19x+9
Write your answer as a point.
(0,9)
100
What is the degree and end behavior?
f(x)=-5x^5+3x^3-3x+1
Degree is 5
End behavior is negative in the positive x and positive in the negative x.
100
-4, 2, -1, 1/2
What is a Geometric sequence
Growth Factor: x-1/2
100
Write the recursive equation
f(n) = 3*2n
f(n) = f(n-1)*2 for n ≥ 1, f(0) = 3
200
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
200
Find the x-intercepts for the following polynomial:
x(x+3)(x+4)
Write your answers as points.
(0, 0)
(-3, 0)
(-4, 0)
200
What do we know about the degree and leading term of this graph?
Degree: Even
L.C.: Positive
200
2 1/2 , 3, 3 1/2, 4, 4 1/2...
What is Arithmetic?
Rate of change: +1/2
200
Write the recursive equation
f(n) = -7n+5
f(n) = f(n-1)-7 for n ≥ 1, f(0) = 5
300
Multiply the Polynomials:
(d + 3)(d2 - 4d + 1)
d3 - d2 -11d + 3
300
Find the x intercepts of the following polynomial:
x2+2x-8
Write your answers as points.
(-4,0) and (2,0)
300
Describe end behavior (using infinity)
As x 
As x
300
Arithmetic with rate of change of 4
300
Write the explicit equation
f(0) = 2, f(n) = f(n-1)*9
f(n) = 2*9n for n ≥ 0
400
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
400
Find the x and y intercepts for the following polynomial:
x3+4x2 - x -4 (one of the zeros is -4)
Write your answers as points.
X Intercepts: ( 1, 0) (-1, 0) (-4, 0)
Y Intercept: (0, -4)
400
Describe End Behavior (using infinity)
As x
As x
400
Geometric
GF:1/3 or 0.6666
400
Write the explicit equation
f(n) = f(n-1)+9, f(0) = 2
f(n) = 9n+2 for n ≥ 0
500
Multiply the Polynomials:
(x-2)(x+3)(2x-1)
2x3+x2-13x+6
500
Find the x and y intercepts of the following polynomial:
-(x-2)2(x+3)(x-3)
Write your answers as points.
X intercepts: (2, 0) (-3, 0) (3, 0)
Y intercept: (0, 36)
500
Describe the following for the graph:
Leading coefficient, degree, zeros, y intercept
L.C.: positive
Degree: even
Zeros: -3, 2, 5
Y-int: -2
500
1, 1, 2, 3, 5, 8, 13
Fibonacci Squares
Neither
500
Write the explicit equation
f(n) = f(n-1)*-8, f(0) = -4
f(n) = -4*(-8)n for n ≥ 0