Let B be the basis of set of prime numbers P 3 consisting of the Hermite polynomials 1, 2t, negative 2 plus 4 t squared comma and negative 12 t plus 8 t cubed ; and let Bold p (t )equals negative 4 plus 8 t squared minus 8 t cubed . Find the coordinate vector of p relative to B.

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Step-by-step explanation:

Hermite polynomials:

Hermite polynomials can be defined in terms of multiple derivatives as follows:Hn(x)=(-1)nex2dndxne-x2.

Let us apply the equation in evaluating the given problem.

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step-by-step explanation:

you put them as all the same denominator and multiply