Which of the following sets of polynomials is a vector space? Here you only need to check the closure properties: Is the sum of any two polynomials in the set also in the set? Is the scalar multiple of any polynomial in the set also in the set? a.) The set of all polynomials of the form p(x)=ax^2 +bx +c, where ,a b and c are arbitrary real numbers. b.) The set of all polynomials of degree 2. c.) The set of all polynomials satisfying the equation p(0)=0. d.) The set of all polynomials satisfying the equation p(0)=1. e.) The set of all polynomials satisfying the equation p(1)=0.

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Which of the following sets of polynomials is a vector space? Here you only need to check the closure properties: Is the sum of any two polynomials in the set also in the set? Is the scalar multiple of any polynomial in the set also in the set? a.) The set of all polynomials of the form p(x)=ax^2 +bx +c, where ,a b and c are arbitrary real numbers. b.) The set of all polynomials of degree 2. c.) The set of all polynomials satisfying the equation p(0)=0. d.) The set of all polynomials satisfying the equation p(0)=1. e.) The set of all polynomials satisfying the equation p(1)=0.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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