Let B = {1, t − 8, (t − 8)²} : - and C = {1, t − 5, (t − 5)²} - be two bases for P2. The function p(t) = 2 + 4(t − 8) + 3(t − 8)², can also be written as p(t) = a + b(t − 5) + c(t − 5)² where a = b = C =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 32E
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Let B =
{1, t -
‚t — 8, (t − 8)²)}
and C =
=
-
{1, t − 5, (t − 5)²}
_
be two bases for P2.
The function p(t) = 2 + 4(t − 8) + 3(t − 8)², can also be written as p(t) = a + b(t − 5) + c(t − 5)²
where
a =
b =
C =
Transcribed Image Text:Let B = {1, t - ‚t — 8, (t − 8)²)} and C = = - {1, t − 5, (t − 5)²} _ be two bases for P2. The function p(t) = 2 + 4(t − 8) + 3(t − 8)², can also be written as p(t) = a + b(t − 5) + c(t − 5)² where a = b = C =
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