Answered: Let p(x) =-2x* + c,x' + c,x + c,x + c,…

Let p(x) =-2x* + c,x' + c,x + c,x + c, x ER be a polynomium whose graph insersects the points (-2, 4), (-1, 0), (1,-2), (3, 6). (a) Determine the coefficients of c3, C2, C1, Co·

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

Let p(x) =-2x* + c,x' + c,x + c,x + c,x E R be a polynomium whose graph insersects the points
(-2, 4), (- 1, 0), (1,-2), (3, 6).
(a) Determine the coefficients of c,, c,, c1, Co-

Expert Solution

Step 1

Given.

We are given a fourth degree polynomial and also four points on the curve of the polynomial and we need to find the coefficients specified in the equation of the polynomial.

We need to satisfy the points with the polynomial and then make a fat of linear equation after solving them we can find the value of all coefficients.

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