On the picture with the chart I don’t need the one at the very top. Unit 3 Toplc 5 Test RETAKE: Zeros of PolynomlalsJadenClarkAll work must be shown to receive credit, please circle your final answer!Name:Block:Score:No Evidence Beginning Developing Proficient Distinguished MasteryDeveloping1. Given the standard form polynomial, answer the following questions:f(x) = x - 2x' + x – 7a. Based on the fundamental theorem of algebra, how many total solutions does the polynomialhave?b. Which of the following is NOT a possible option for the solutions of the above polynomial?(circle all that apply)i.3 real, 4 complexii.2 real, 6 complexi.2 real, 5 complex7 complex7 realiv.V.2. Given that f(- 27) = 0, what is a factor of f(x)?a. (x – 27)b. (x + 27)C. - 27xd. 27x3. Given the factored form polynomial, list the roots: f(x) = x(x + 12)a. – 2i/3, 2i/3ib. 0, 2i/2, – 2i/2c. 0, 2i/3, - 2i/3d. 0, 12i, – 12i4. Solve by factoring: x* – 3x – 28 = 0a. 7, – 7, 2i, – 2ib. 2i, – 2i, i7, - i7c. 7, - V7, 2i, - 2id. 7, - V7, 3i, - 3i A Fcto Comptiaty w e e1119Proficient6 Astudent constructed the fe org e wu B ta chegree potnomiwot. Ust theof the polynomial.11(x + 1) a factor of 3x- 2x + 52 Use the remainder theorem to show your work, then explainit is or why it is not a factor.- Show work:Ix 25313-14Explain:Sincethe function and one of its roots, find the other roots.Solve: f(x) = x' + 3x´ – 14x – 12; if 3 is a root

1) fx=x6-2x4+x-7 a) roots of f(x) is x1=-1.6155 x2=1.14203+0.48543i x3=1.14203-0.48543i…

Score: No Evidence Beginning Developing Proficient Distinguished Mastery Developing 1. Given the standard form polynomial, answer the following questions: sx) = x - 2x + x - 7 a. Based on the fundamental theorem of algebra, how many total solutions does the polynomial have? b. Which of the following is NOT a possible option for the solutions of the above polynomial? (circle all that apply) 3 real, 4 complex i. 2 real, 6 complex 2 real, 5 complex ii. i. iv, 7 complex 7 real V. 2. Given that f(- 27) = 0, what is a factor of f (x)? a. (x – 27) b. (x + 27) C. - 27x d. 27x 3. Given the factored form polynomial, list the roots: f(x) = x(x + 12) %3D a. - 2i/3, 21/3i b. 0, 2i/2, - 21/2z c. 0, 2i/3, - 2i/3 d. 0, 12i, 12i 4. Solve by factoring: x - 3x - 28 = 0 a. 7, - 7, 2i, – 2i b. 21, - 2i, i7, c. 7, - V7, 2i, - 2i d. 7, - 17, 3i, - 3i

Score: No Evidence Beginning Developing Proficient Distinguished Mastery Developing 1. Given the standard form polynomial, answer the following questions: sx) = x - 2x + x - 7 a. Based on the fundamental theorem of algebra, how many total solutions does the polynomial have? b. Which of the following is NOT a possible option for the solutions of the above polynomial? (circle all that apply) 3 real, 4 complex i. 2 real, 6 complex 2 real, 5 complex ii. i. iv, 7 complex 7 real V. 2. Given that f(- 27) = 0, what is a factor of f (x)? a. (x – 27) b. (x + 27) C. - 27x d. 27x 3. Given the factored form polynomial, list the roots: f(x) = x(x + 12) %3D a. - 2i/3, 21/3i b. 0, 2i/2, - 21/2z c. 0, 2i/3, - 2i/3 d. 0, 12i, 12i 4. Solve by factoring: x - 3x - 28 = 0 a. 7, - 7, 2i, – 2i b. 21, - 2i, i7, c. 7, - V7, 2i, - 2i d. 7, - 17, 3i, - 3i

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

On the picture with the chart I don’t need the one at the very top.

Unit 3 Toplc 5 Test RETAKE: Zeros of Polynomlals
Jaden
Clark
All work must be shown to receive credit, please circle your final answer!
Name:
Block:
Score:
No Evidence Beginning Developing Proficient Distinguished Mastery
Developing
1. Given the standard form polynomial, answer the following questions:
f(x) = x - 2x' + x – 7
a. Based on the fundamental theorem of algebra, how many total solutions does the polynomial
have?
b. Which of the following is NOT a possible option for the solutions of the above polynomial?
(circle all that apply)
i.
3 real, 4 complex
ii.
2 real, 6 complex
i.
2 real, 5 complex
7 complex
7 real
iv.
V.
2. Given that f(- 27) = 0, what is a factor of f(x)?
a. (x – 27)
b. (x + 27)
C. - 27x
d. 27x
3. Given the factored form polynomial, list the roots: f(x) = x(x + 12)
a. – 2i/3, 2i/3i
b. 0, 2i/2, – 2i/2
c. 0, 2i/3, - 2i/3
d. 0, 12i, – 12i
4. Solve by factoring: x* – 3x – 28 = 0
a. 7, – 7, 2i, – 2i
b. 2i, – 2i, i7, - i7
c. 7, - V7, 2i, - 2i
d. 7, - V7, 3i, - 3i

A Fcto Comptiaty w e e
1119
Proficient
6 Astudent constructed the fe org e wu B ta chegree potnomiwot. Ust the
of the polynomial.
11
(x + 1) a factor of 3x- 2x + 52 Use the remainder theorem to show your work, then explain
it is or why it is not a factor.
- Show work:
Ix 25
31
3-14
Explain:
Since
the function and one of its roots, find the other roots.
Solve: f(x) = x' + 3x´ – 14x – 12; if 3 is a root

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