L(p(x)) = 8p' + 4p" maps P4 into P3. (a) Find the matrix representation of L with respect to the ordered bases S = E = {x³, x², x, 1} and = {x² + x + 1, x + 1,1} (b) Use Part (a) to find the coordinate vectors of L(p(x)) and L(g(x)) where p(x) = 4x³ - 15x and g(x)=x² - 6. [L(p(x))] F = [L(g(x))]F =

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