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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
Transcribed Image Text: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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