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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

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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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