Given the following set S of polynomials , find a polynomial p(x) in P2 so that SU {p(x)} spans P2 and a non-zero polynomial q(x) in P2 so that SU{q(x)} does not span P2. Use the A' character to indicate an exponent, e.g. 5x^2-2x+1. S = |-8x²+9x-9, 5x²+5x| p(x) = 0 q(x) = 0

Given the following set S of polynomials , find a polynomial p(x) in P2 so that SU {p(x)} spans P2 and a non-zero polynomial q(x) in P2 so that SU{q(x)} does not span P2. Use the A' character to indicate an exponent, e.g. 5x^2-2x+1. S = |-8x²+9x-9, 5x²+5x| p(x) = 0 q(x) = 0

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.2: Polynomial Functinos And Their Graphs

Problem 4E: Which of the following statements couldn't possibly be true about the polynomial function P? (a) P...

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Question

Given the following set S of polynomials , find a polynomial p(x) in P2
so that SU {p(x)} spans P2 and a non-zero polynomial q(x) in P2 so
that SU{q(x)} does not span P2.
Use the 'A' character to indicate an exponent, e.g. 5x^2-2x+1.
S = -8x2+9x-9, 5x²+5x
%3D
p(x) = 0 q(x) = 0
%3D

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