Urgent: n-degree polynomial problems Hi I know I have asked this before, but I haven't been able to solve the problem using the tools that I have. Let me recap I have been tasked to find two polynomials of degree 3 p(x) and q(x) complies with the following conditions. p( - 1) = 1 , p'(-1) = 0 , q(1) = 3, q'(1) = 0, p(0) = q(0), p'(0) = q'(0) I'm told that the resulting two polynomials of degree 3 are: p(x) = (2 + s - 2t) x^3 + (3 + 2s - 3t) x^2 + s*x + t q(x) = (-6 + s + 2t) x^3 + (9 - 2s - 3t) x^2 + s*x +t where s,t belong to R. I have looked through my linear algebra text-book several times, but can't find a method on howto build polynomials which resemble p(x) and q(x). Is there anybody who can direct me to a method on howto build the to above polynomials ??? Sincerley and Best Regards, Fred p.s. Thanks again for all Your answers in the past they mean the world to me :-) p.p.s. I have done some research now and s, t are the socalled roots of the the cubic polynomial.