Use synthetic division to decide whether the given number

Last updated: 7/26/2022

Use synthetic division to decide whether the given number k is a zero of the given polynomial function. If it is not, give the value of f(k). f(x) = x³+2x²–2x+1, k=2+ i Is 2+ i a zero of the function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ○ A. The given k is not a zero of the polynomial function. f(2 + i) = ▢ (Simplify your answer. Express complex numbers in terms of i.) ○ B. The given k is a zero of the polynomial function.