2)Use this function to solve the next questions. f(x)=x4-3x3-5x2+21x+22 a) Use the Rational Roots Theorem to identify all possible roots of the function f(x) b) Use the synthetic division or long division to identify ONE zero of the function.  c) State the remaining polynomial. Then find another zero using synthetic division.  d) Find all remaining zeros of the function.  e) What does the degree and leading coefficient tell you about the end behavior of this graph?  f) Graph the function using your zeros

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
Section4.5: Zeros Of Polynomial Functions
Problem 79E
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2)Use this function to solve the next questions. f(x)=x4-3x3-5x2+21x+22

a) Use the Rational Roots Theorem to identify all possible roots of the function f(x)

b) Use the synthetic division or long division to identify ONE zero of the function. 

c) State the remaining polynomial. Then find another zero using synthetic division. 

d) Find all remaining zeros of the function. 

e) What does the degree and leading coefficient tell you about the end behavior of this graph? 

f) Graph the function using your zeros

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