
Final Exam Review: Unit 2 (Polynomials)
Presentation
•
Mathematics
•
12th Grade
•
Hard
+8
Standards-aligned
Alyssa Gage
FREE Resource
3 Slides • 18 Questions
1
Write the equation of a polynomial given the zeros and a point on the graph
Add, subtract, multiply complex numbers
Use the Leading Coefficient Test to determine the end behavior of graphs of polynomial functions
Graph polynomial functions
Find all zeros of polynomial functions
Solve polynomial inequalities
Link to Notes
2
Multiple Choice
3
Multiple Choice
Assuming the scale is 1, where is f(x) < 0?
4
5
6
Multiple Choice
Identify the degree of the polynomial and the sign of the leading coefficient
Degree - Even
Degree - Odd
Degree - Even
Degree - Odd
7
Multiple Choice
Use the Complex Conjugate Root Theorem to state another complex solution.
Given that -2-5i is a root.
8
Multiple Choice
Which function has this end behavior?
f(x)=−x2−3x+1
f(x)=−x3+2x2+3
f(x)=x4+3x3−4x+1
f(x)=x5−4x4+2x2−1
9
Multiple Choice
Use the Complex Conjugate Root Theorem to state another complex solution.
Given that 3+5i is a root.
10
Multiple Choice
Use the Complex Conjugate Root Theorem to state another complex solution.
Given that -7i is a root.
11
Multiple Choice
Write in factored form using the following roots.
7, -2i
(x-7)(x-2i)
(x-7)(x+2i)(x-2i)
(x-7)(x+2i)
(x-7)(x+7)(x-2i)
12
Multiple Choice
Write in factored form the polynomial with given roots
x= -4 and 3i
f(x)= (x-4) (x+3i)
f(x) = (x+4)(x-3i)
f(x)= (x-4) (x+3i) (x-3i)
f(x) = (x+4)(x-3i)(x+3i)
13
Multiple Choice
True or False: All imaginary roots come in pairs.
True
False
14
Multiple Choice
Which of the following would be the correct factored form with roots 2, 5i, and 6?
(x-6)(x-2)(x+5i)(x-5i)
(x+6)(x+2)(x+5i)
(x-6)(x-2)(x-5i)
(x+6)(x+2)(x-5i)
15
Multiple Choice
What is the left side of the graph doing?
f(x) = 4x3 + 2x2 + 6x + 10
16
Multiple Choice
17
Multiple Choice
What are the zeros of the function f(x)=3x(x−4)(x+5) ?
−4, 0, 5
−4, 3, 5
−5, −3, 4
−5, 0, 4
18
Multiple Choice
In the function p(x)=3x(x−6)4(x+4)3(x−5)2 which zero has a multiplicity of 3?
−4
0
5
6
19
Multiple Choice
Write the equation of the polynomial shown.
20
Multiple Choice
f(x) = -5x4 - 2x2 + 8
Right side: Rises
Right side: Falls
Right side: Rises
Right side: Falls
21
Multiple Choice
What is the y-intercept?
f(x) = -x4 + x3 + 5x2 + x + 6
Write the equation of a polynomial given the zeros and a point on the graph
Add, subtract, multiply complex numbers
Use the Leading Coefficient Test to determine the end behavior of graphs of polynomial functions
Graph polynomial functions
Find all zeros of polynomial functions
Solve polynomial inequalities
Link to Notes
Show answer
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