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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.

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# Homework Help: N-degree polynomial problems

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