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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 46E

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Question

Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 3x² - 2x - 1, 12x²-6x - 5 and
22x 45x2+ 19.
-
a. The dimension of the subspace H is ☐.
b. Is {3x² - 2x 1, 12x²-6x-5, 22x45x² + 19} a basis for P2? choose
-
Be sure you can explain and justify your answer.
c. A basis for the subspace H is { ☐ }. Enter a polynomial or a comma separated list of polynomials.

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