Find a polynomial p(x) = ao + a1x + aza² + azx³ of degree < 3 (here ao, a1, a2, a3 are real numbers) such that p(-2) = 49, p(-1) = 10, p(0) = 1, and p(1) = -2. No credit will be given for a correct polynomial without supporting work.

Find a polynomial p(x) = ao + a1x + aza² + azx³ of degree < 3 (here ao, a1, a2, a3 are real numbers) such that p(-2) = 49, p(-1) = 10, p(0) = 1, and p(1) = -2. No credit will be given for a correct polynomial without supporting work.

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,...

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Question

Find a polynomial
p(x) = ao + a1x + azx² + a3x³
of degree < 3 (here ao, a1, a2, az are real numbers) such that
p(-2) = 49, p(-1) = 10, p(0) = 1, and p(1) = -2.
No credit will be given for a correct polynomial without supporting work.

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