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: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.6: Solving Problems Involving Quadratic Equations
Problem 15P
Related questions
Question
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F760476ad-e7f5-4787-ab69-71e6f8e54049%2Fb1ffd9d1-0b4a-4ead-8dec-1fc66f5eab3e%2Fozp06f_processed.png&w=3840&q=75)
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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