Question: Find and fully expand a polynomial with integer coefficients and lowest possible degree that satisfies each of the following conditions a) has a root at

Find and fully expand a polynomial with integer coefficients and lowest possible degree that satisfies each of the following conditions

a) has a root at 3/2, a root of multiplicity 2 at -5, that has a remainder of -7 when divided by 2

b) has a root of multiplicity 2 at 4 and 3i and the coefficient of x^2 is 50

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