Let S = {1+ 5x, 1 – 2x-}. Which of the following polynomials could be added to the set S to form a basis for P2? (i) 2+ 5x – 2x2 (ii) 6+ 5x – 10x2 (iii) 5 + 10x - (A) all of them (B) (iii) only (C) (ii) only (D) none of them (E) (ii) and (iii) only (F) (i) and (ii) only (G) (i) only (H) (i) and (iii) only

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let S =
{1 + 5x, 1 – 2x²}. Which of the following polynomials could be added to the set S to form a basis for P2?
(i) 2 + 5x – 2²
(i) 6 + 5х — 10х2
(i) 5 + 10х — бх2
(A) all of them (B) (iii) only (C) (ii) only (D) none of them (E) (ii) and (iii) only (F) (i) and (ii) only
(G) (i) only (H) (i) and (iii) only
Transcribed Image Text:Let S = {1 + 5x, 1 – 2x²}. Which of the following polynomials could be added to the set S to form a basis for P2? (i) 2 + 5x – 2² (i) 6 + 5х — 10х2 (i) 5 + 10х — бх2 (A) all of them (B) (iii) only (C) (ii) only (D) none of them (E) (ii) and (iii) only (F) (i) and (ii) only (G) (i) only (H) (i) and (iii) only
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