Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value n=3; 4 and 4 i are zeros; f (-1) = - 170

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Mathematics

Griffin Larson

13 June, 06:42

Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value n=3; 4 and 4 i are zeros; f (-1) = - 170

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Kevin Gilmore · Answer 1

Since 4i is a root, that automatically means - 4i is also a root (complex roots always travel in pairs) So the factored form would look like (x+4i) (x-4i). When multiplied out this gives the polynomial x2 + 16.