Use the inner product (p, q) = aobo + a₁b₁ + a₂b₂ to find (p, q), ||p|, |la|l, and d(p, q) for the polynomials in P₂.p(x) = 1 -x + 4x², g(x) = x - x²(a) (p, q)(b) ||p||(c) ||||(d) d(p, q) [3]-3Let u =(a) (u, v)(b) ||u||(c) d(u, v)6- [8]and v =and let (u, v) = 2u₁V₁ + 3u₂v₂ be an inner product. Compute the following.

Answered: Image /qna-images/answer/f997863c-1237-417e-b231-00c4466160cd.jpg

Answered: Use the inner product (p, q) = a b +…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.4: Complex And Rational Zeros Of Polynomials

Problem 32E

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Use the inner product (p, q) = a b + a₁b₁ + a₂b₂ to find (p, q), ||pl|, |la||, and d(p, q) for the polynomials in P2. p(x) = 1 -x + 4x², q(x) = x - x² (a) (p, q) (b) ||p|| (c) |||| (d) d(p, q)