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Use synthetic division to decide whether the given number k is a zero of the polynomial function. If it is not, give the value of

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Use synthetic division to decide whether the given number k is a zero of the polynomial function. If it is not, give the value of f(k). f(x) = x~ + 4x +5; k= 1+ i . . . Is 1 + i a zero of the function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The given k is not a zero of the polynomial function. f(1 + i ) = (Type an exact answer, using radicals and i as needed.) O B. The given k is a zero of the polynomial function

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