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Let P

3

have the inner product given by evaluation at −5,−1,1, and 5 . Let p
0

(t)=4,p
1

(t)=2t, and q(t)=
12
t
2
−13

. Notice that these polynomials form an orthogonal set with this inner product. Find the best approximation to p(t)=3t
3
by polynomials in Span {p
0

,p
1

,q}. The best approximation to p(t)=3t
3
by polynomials in Span{p
0

,p
1

,q} is .

1 Answer

7 votes
The answer is 3 of the question
User Chien
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