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:
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.3: The Remainder And Factor Theorems; Synthetic Division
Problem 99E: Find a polynomial function P(x) with the given zeros. There is no unique answer for P(x). 1,1,2,2
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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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