The polynomial of degree 4, P(x), has a root of multiplicity 2 at z = 2 and roots of multiplicity 1 at T = 0 and x = - 3. It goes through the point (5, 108). Find a formula for P(x).

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.