Write the equation of the degree 3 polynomial P (x), given that a) P(0) = -2, P' (0) = 3, P" (0) = 12, and P" (0) = –240. b) P has a relative minimum at x = -3 and a relative maximum at x = 1, P (0) = 0, and P (1) = 5.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra
Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...
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question 18 please explain a and b

18. Write the equation of the degree 3 polynomial P (x), given that
а) Р (0) — —2, Р (0) — 3, Р" (0) — 12, and Pi" (0) — —240.
b) P has a relative minimum at x
-3 and a relative maximum
at x = 1, P (0) = 0, and P (1) = 5.
Transcribed Image Text:18. Write the equation of the degree 3 polynomial P (x), given that а) Р (0) — —2, Р (0) — 3, Р" (0) — 12, and Pi" (0) — —240. b) P has a relative minimum at x -3 and a relative maximum at x = 1, P (0) = 0, and P (1) = 5.
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