The set of all polynomials of degree 6 under the standard addition and scalar multiplication operations is not a vector space because * O We can find two polynomials P(x) and Q(x) for which P(x)-Q(x)#Q(x)-P(x) It is not closed under addition. O We can find a polynomial P(x) for which 1: P(x)#P(x) O We can find a polynomial P(x) such that (c+d)P(x)#cP(x)+dP(x).

The set of all polynomials of degree 6 under the standard addition and scalar multiplication operations is not a vector space because * O We can find two polynomials P(x) and Q(x) for which P(x)-Q(x)#Q(x)-P(x) It is not closed under addition. O We can find a polynomial P(x) for which 1: P(x)#P(x) O We can find a polynomial P(x) such that (c+d)P(x)#cP(x)+dP(x).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 15RE

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