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,...
icon
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)
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)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 7 images

Blurred answer
Similar questions
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education