Question: Problem 9.3 Let f(x) = 1 +x, g(x) = x+x2 and h(x) = x +x2 +x be polynomials in P and define W = span{f,g,

Problem 9.3 Let f(x) = 1 +x, g(x) = x+x2 and h(x) = x +x2 +x be polynomials in P and define W = span{f,g, h}. a) Show that f, g and h are linearly independent. b) Find a basis for W and the dimension of W. c) If j(x) = 1-x2+x3 show that je W. d) What is dimspan{f, g, h, j}

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