Add, Subtract,
Multiply and Divide
Multiply and Divide
Creating Equations from Roots
Polynomial Graphs
Finding all Roots
Polynomial Characteristics
100
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
100
Given the roots, write a polynomial in Standard Form.
5,-3
What is
x^2-2x-15 ?
100
What is the degree and leading coefficient?
f(x)=-5x^5+3x^3-3x+1
D:5
LC:-5
100
Find all real and rational roots of: x^2 - 2x-35
What is 7 and -5?
100
Given the equation below, determine the x and y intercepts.
f(x) = x^3+6x^2+9x.
What is the x-intercepts are -3 and 0. The y-intercept is 0.
200
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
200
Write the polynomial function in Standard Form given the roots.
0, -4 and 5
What is
x^3-x^2-20x
200
Is the degree Even or Odd?
Even
200
Using the rational root theorem, find the zeros (the roots) of each of the following polynomial function:
x^3−2x^2−5x+6
What is
-2, 1, 3
200
The function for the graph in factored form is...
f(x) = (x-2)^2(x-1)x(x+1)
300
Multiply the Polynomials:
(x - 3)(x + 2)
x2 - x - 6
300
Write the polynomial function in Standard Form given roots.
3, sqrt3, -sqrt3
What is
x^3-3x^2-3x+9
300
Is the slope Positive or Negative?
Positive
300
Using the rational root theorem, find the zeros (the roots) of each of the following polynomial function:
3x^3+x^2−12x−4
What is
-2, 1/3, 2
300
The degree and lead coefficient of
f(x)=-x+5x^2-6x^3+10
What is degree 3 and lead coeffcient of -6?
400
Multiply the Polynomials:
(d + 3)(d2 - 4d + 1)
d3 - d2 -11d + 3
400
Write the polynomial function in Standard Form given roots.
1, -2, 2i,-2i
What is
x^4+x^3+2x^2+4x-8 ?
400
What are the solutions to this quadratic graph?
no solution
400
Using the rational root theorem, find the zeros (the roots) of each of the following polynomial function:
5x^3+8x^2−79x+30
What is
-5,2/5,3
400
f(x) = x^3-6x^2+32?
500
Use synthetic division to find the result when 3x3+13x2+19x+9 is divided by x+1.
3x2+10x+9
500
Find the factors that has the given roots.
4,4/5,5/2
What is
(x-4)(5x-4)(2x-5)
500
How many total zeros, total real zeros, and complex zeros are there?
5 total
5 real
0 complex
500
Using the rational root theorem, find the zeros (the roots) of each of the following polynomial function:
x^4-x^3-19x^2-11x+30
What is
x= -3,-2,1,5
500
What is the end behavior for the graph
As x 
As x