*Multiple part question*20 POINTS* a) If the zeros of a polynomial function are 4, -3, and 8, find the equation.
b) If the zeros of a polynomial function are 4i, -9, and 2, find the equation.
c) If the zeros of a polynomial function are root(4), -7, and 5, find the equation.
d) If the zeros of a polynomial function are root(4)i, -3, and root(8), find the equation.

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Step-by-step explanation:

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if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this