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  3. let r[x, y] be the set of polynomials in two coeff

Let R[x, y] be the set of polynomials in two coefficients. Prove that R[x, y] is...

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Advance Math

Let R[x, y] be the set of polynomials in two coefficients. Provethat R[x, y] is a vector space over R. A polynomial f(x, y) iscalled degree d homogenous polynomial if the combined degree in xand y of each term is d. Let Vd be the set of degree d homogenouspolynomials from R[x, y]. Is Vd a subspace of R[x, y]? Prove youranswer.

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