Suppose that f(x) = x² + 1, g(x) = x² − x and h(x): = x - 1. Then the set of functions {f, g, h} is a basis for P2, the set of all polynomial functions of degree less than or equal to two. Express the function A(x) = -10x² - 3x - 5 as a linear combination of these basis functions: A = c₁fc29 + c3h. C1 = C2=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 7E
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Suppose that f(x) = x² + 1, g(x) = x² - x and h(x) = x - 1. Then the set of functions {f, g, h} is a
basis for P2, the set of all polynomial functions of degree less than or equal to two.
Express the function A(x) = -10x² - 3x - 5 as a linear combination of these basis functions:
A = c₁fc29+ c3h.
C1 =
C2=
C3 =
Transcribed Image Text:Suppose that f(x) = x² + 1, g(x) = x² - x and h(x) = x - 1. Then the set of functions {f, g, h} is a basis for P2, the set of all polynomial functions of degree less than or equal to two. Express the function A(x) = -10x² - 3x - 5 as a linear combination of these basis functions: A = c₁fc29+ c3h. C1 = C2= C3 =
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