What is a polynomial
Working with polynomials
Sketching polynomials
100
State the lead term, degree, and constant term
f(x)= 5x4 - 2x5 + 3
Lead term: -2x5
Degree: 5
Constant term: 3
100
State the zeros
g(x)= (x + 5)(x - 2)(x + 9)
x = -5, 2, and -9
100
sketch the end behavior
f(x)= 4x4 + 6x - 1
right up, left up
200
State if the following is a polynomial
f(x)= 3x2 - 1.2x + 6x4
Yes
200
Multiply the following together
(x + 5)(x - 9)
x2 - 4x - 45
200
sketch the end behavior
g(x)= -5x7 + 8x2 - 4 + x6 - 3x
Right down, left up
300
Create a polynomial with the following features:
- Degree is 8
- 7 terms
- Intercepts y axis at y = 0
f(x)= x8+x7+x6+x5+x4+x3+x2
300
Multiply the following together:
(4x - 4)(6x + 2)
24x2 - 16x - 8
300
What is the lead term and end behavior
h(x)= -3(x - 7)6(x + 2)2(x + 1)
-3x9
Right down, left up
400
Create a polynomial with zeros:
- x = 4 (multiplicity 5)
- x = -2 (multiplicity 2)
- x = -1 (multiplicity 8)
g(x) = (x - 4)5(x+2)2(x+1)8
400
State the zeros
g(x)= (x + 1)(2x+11)3(3x - 7)2
x = -1, -11/2, and 7/3
400
Sketch the following polynomial
f(x)= (x + 6)(x - 2)3
500
Write an equation based on the graph
f(x)=(x-5)^2(x+3)(x-1)(x+5)
500
Multiply the following together
(x - 6)(x + 2)(x + 9)
x3 + 5x2 - 48x - 108
500
Sketch the following polynomial
f(x)= (x - 1)2(x - 5)2(x + 8)3
