Use the given zero to find all the zeros of the function. Function Zero X³ - 3x² + 16x - 48 4i A)±4i,±3 B)±4i,-3 C)±4i,3 D)4,±3 E)±4i,±4

Question

Quizplus · Accepted Answer

The given zero is 4i, which means that the conjugate, -4i, is also a zero of the function (since the coefficients of the polynomial are all real). To find the remaining zeros, we can use polynomial division or synthetic division to divide the given polynomial by (x-4i)(x+4i) = x^2 + 16. We obtain: X³ - 3x² + 16x - 48 = (x^2 + 16)(x - 3) Therefore, the function has zeros at ±4i and 3. The answer is C) ±4i,3.

Use the Given Zero to Find All the Zeros of the Function