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et 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 oot symbol '√' where needed to give an exact value for your answer. Po = 2x+2 =₁= −2x²–2x+1 Po, P₁>: ||Poll = 0 1n₁11=0 0

et 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 oot symbol '√' where needed to give an exact value for your answer. Po = 2x+2 =₁= −2x²–2x+1 Po, P₁>: ||Poll = 0 1n₁11=0 0

Elements Of Modern Algebra
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 26E
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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 = −2x²–2x+1 Po, P₁>= 0 llpoll = 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 = −2x²–2x+1 Po, P₁>= 0 llpoll = 0 ||p₁|| = 0
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