Problem #3: Which of the following sets of polynomials form a basis for P2? 1 + 2x + 6x², P2 P1 = (ii) P₁ = (iii) p₁ = = 3 + x 1 + x, P2 = 7x + x², P3 = 1 + 8x + x² 1, P2 = 1 - 6x, P3 = x, P4 = x² (A) (i) and (iii) only (B) none of them (C) all of them (D) (iii) only (E) (ii) and (iii) only (F) (i) only (G) (i) and (ii) only (H) (ii) only
Problem #3: Which of the following sets of polynomials form a basis for P2? 1 + 2x + 6x², P2 P1 = (ii) P₁ = (iii) p₁ = = 3 + x 1 + x, P2 = 7x + x², P3 = 1 + 8x + x² 1, P2 = 1 - 6x, P3 = x, P4 = x² (A) (i) and (iii) only (B) none of them (C) all of them (D) (iii) only (E) (ii) and (iii) only (F) (i) only (G) (i) and (ii) only (H) (ii) only
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.CT: Chapter Test
Problem 9CT
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![Problem #3: Which of the following sets of polynomials form a basis for P₂?
1 + 2x + 6x², P2 = 3 + x
1 + x, P2 = 7x + x², P3 = 1 + 8x + x²
(i) P₁ =
(ii) p1
(iii) P₁ = 1, P2
=
1 - 6x, P3 = x, P4 = x²
x²
(A) (i) and (iii) only (B) none of them (C) all of them (D) (iii) only (E) (ii) and (iii) only
(F) (i) only (G) (i) and (ii) only (H) (ii) only](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F324d2399-7c16-4255-9612-7ea336b734b4%2F1c1ac5ca-b8a5-4bff-acf3-1ef55c3a32e1%2Fzkw8f1m_processed.png&w=3840&q=75)
Transcribed Image Text:Problem #3: Which of the following sets of polynomials form a basis for P₂?
1 + 2x + 6x², P2 = 3 + x
1 + x, P2 = 7x + x², P3 = 1 + 8x + x²
(i) P₁ =
(ii) p1
(iii) P₁ = 1, P2
=
1 - 6x, P3 = x, P4 = x²
x²
(A) (i) and (iii) only (B) none of them (C) all of them (D) (iii) only (E) (ii) and (iii) only
(F) (i) only (G) (i) and (ii) only (H) (ii) only
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