Let po and p₁ be the polynomials in P2 given below, and let the inner product for P2 be given by evaluation at -2, 0, 2, so =p(−2)q(−2)+p(0)q(0)+p(2)q(2). Find the inner product of po and p₁ and the norms of po and p₁. Use the square root symbol '' where needed to give an exact value for your answer. Po=2x-2 P₁ = 2x²-x-1 Po, P1>= 0 ||Poll = 0 ||p₁|| = 0

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 19E
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Let po and p₁ be the polynomials in P2 given below, and let the inner product for P2 be given by evaluation at -2, 0, 2, so
<p,q>=p(−2)q(−2)+p(0)q(0)+p(2)q(2). Find the inner product of po and p₁ and the norms of po and p₁. Use the square
root symbol '' where needed to give an exact value for your answer.
Po=2x-2
P₁ = 2x²-x-1
Po, P1>= 0
||Poll = 0
||p₁|| = 0
Transcribed Image Text:Let po and p₁ be the polynomials in P2 given below, and let the inner product for P2 be given by evaluation at -2, 0, 2, so <p,q>=p(−2)q(−2)+p(0)q(0)+p(2)q(2). Find the inner product of po and p₁ and the norms of po and p₁. Use the square root symbol '' where needed to give an exact value for your answer. Po=2x-2 P₁ = 2x²-x-1 Po, P1>= 0 ||Poll = 0 ||p₁|| = 0
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