Let T: P₂-R² be defined by+ T (p()) = [P].(a) Find a polynomial p(t) in P₂ that spans the kernel of T.(b) Find a polynomial g(1) in P, such that 7 (q(1)) = [4] ·P

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Answered: Let T: P₂- R² be defined by +T (PO) =…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.4: Zeros Of A Polynomial

Problem 1E: 1. Find a monic polynomial of least degree over that has the given numbers as zeros, and a monic...

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Let T: P₂- R² be defined by +T (PO) = [PⓇ]. (a) Find a polynomial p(t) in P₂ that spans the kernel of T. (b). Find a polynomial g(1) in P, such that 7 (q(1)) = [4] · P