Given that p(x) ax³ + bx² + cx + d is a polynomial of degree 3 such that p(-2) = 3, %3D p(3) = 11, p(4) = 7 and p(7) = 4. %3D (a) Set up a linear system for (a, b, c, d). (b) Use Cramer's rule to find the value of b.

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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Given that p(x)
= ax + bx? + cx + d is a polynomial of degree 3 such that p(-2) = 3,
%3D
p(3) = 11, p(4) = 7 and p(7) = 4.
(a) Set up a linear system for (a, b, c, d).
(b) Use Cramer's rule to find the value of b.
Transcribed Image Text:Given that p(x) = ax + bx? + cx + d is a polynomial of degree 3 such that p(-2) = 3, %3D p(3) = 11, p(4) = 7 and p(7) = 4. (a) Set up a linear system for (a, b, c, d). (b) Use Cramer's rule to find the value of b.
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