



 
Hi Joan, You want the polynomials on the left side and right side to be identical. On the right side the polynomial has degree 4 so the polynomial on the left side must also be of degree 4. Hence the polynomial P(x) must have degree 2 so that x^{2} P(x) has degree 4. Hence let P(x) = ax^{2} + bx + c and substitute into the right side. Collect the terms on the left side and you will have an equation of the form
Thus E = 1, F = 0, G = 2 and H = 0. From these equations you can solve for a, b and c. If you need further assistance write back. Harley  


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