L(p(x)) = - 6p' – 3p" maps P4 into P3. (a) Find the matrix representation of L with respect to the ordered bases E = {x³, x2, x, 1} and F' {x2 + x + 1, x + 1, 1} S = (b) Use Part (a) to find the coordinate vectors of L(p(x)) and L(g(x)) where p(x) = 6x³ – 8x and g(æ) = x? + 10. (L(p(x)))F [L(g(x))|F

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