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Mathman23
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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.
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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