P(x) is a monic polynomial of degree 4 such that P(-1) = 5, P(2)=-4 and P(x) = P(-x), i.e. it is an even function. Find P(x) and hence solve the equation P(x) = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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5) P(x) is a monic polynomial of degree 4 such that P(-1) = 5, P(2)=-4 and P(x) = P(-x), i.e. it is an
even function. Find P(x) and hence solve the equation P(x) = 0.
Transcribed Image Text:5) P(x) is a monic polynomial of degree 4 such that P(-1) = 5, P(2)=-4 and P(x) = P(-x), i.e. it is an even function. Find P(x) and hence solve the equation P(x) = 0.
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