2. Use this function to answer questions a- d. Please show your work f(x) = 3x³-7x²-14x +24 a. Using the Fundamental Theorem of Algebra. How many possible complex roots will this polynomial have? b. Using Descartes Rule, determine how many possible positive roots and how many possible negative roots this function will have. c. Using the Rational Roots Theorem, list all the possible rational roots for the function:
2. Use this function to answer questions a- d. Please show your work f(x) = 3x³-7x²-14x +24 a. Using the Fundamental Theorem of Algebra. How many possible complex roots will this polynomial have? b. Using Descartes Rule, determine how many possible positive roots and how many possible negative roots this function will have. c. Using the Rational Roots Theorem, list all the possible rational roots for the function:
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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Transcribed Image Text:2. Use this function to answer questions a - d. Please show your work
f(x) = 3x³ -7x²-14x +24
a. Using the Fundamental Theorem of Algebra. How many possible complex roots will this polynomial have?
b. Using Descartes Rule, determine how many possible positive roots and how many possible negative roots this function will
have.
c. Using the Rational Roots Theorem, list all the possible rational roots for the function:
d. Using the possible roots you found on the previous question, find all the possible zeros for this function. (Hint: use synthetic
division)
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