1.) Ca.) use the Rational Zero Theorem to list Out the possible rational Of f. 2eros part la) along with Synthetic tind (b.) Use division and factoring to of f write the faltorization for all zeros complete I(c.) Sketch the + १r०pA AF 2Make Sure your Shows the ai-interrcepts and exhibits graph proper end bahavior.
1.) Ca.) use the Rational Zero Theorem to list Out the possible rational Of f. 2eros part la) along with Synthetic tind (b.) Use division and factoring to of f write the faltorization for all zeros complete I(c.) Sketch the + १r०pA AF 2Make Sure your Shows the ai-interrcepts and exhibits graph proper end bahavior.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![## Problem 1
Given the polynomial:
\[ f(x) = 2x^4 - 5x^3 - 17x^2 + 16x + 12 \]
(a) **Use the Rational Zero Theorem** to list out the possible rational zeros of \( f \).
(b) **Use part (a) along with synthetic division and factoring** to find all zeros of \( f \). Write the complete factorization for \( f(x) \).
(c) **Sketch the graph of \( f \).** Make sure your graph shows the x-intercepts and exhibits proper end behavior.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8f0c9d45-523e-4560-862e-67915e62dc6c%2Fabbef4e1-d174-407b-a8a6-dd535b157caa%2Fmdcqkgg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Problem 1
Given the polynomial:
\[ f(x) = 2x^4 - 5x^3 - 17x^2 + 16x + 12 \]
(a) **Use the Rational Zero Theorem** to list out the possible rational zeros of \( f \).
(b) **Use part (a) along with synthetic division and factoring** to find all zeros of \( f \). Write the complete factorization for \( f(x) \).
(c) **Sketch the graph of \( f \).** Make sure your graph shows the x-intercepts and exhibits proper end behavior.
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