Write a polynomial function in standard form with real coefficients whose zeros include 2 comma 7 i comma and negative 7 i .

1 answer:

5 0

This will be a third degree polynomial since we have 3 zeros. We will FOIL them out. They are: (x-2), (x+7i), (x-7i). The product of the second and third factors gives us $x^2-49i^2$ . i^2 = -1, so if we simplify, we have $x^2-49(-1)=x^2+49$ . Now we will multiply that with x-2 to get $x^3-2x^2+49x-98$ . There you go!

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