Using synthetic division, determine whether the numbers are zeros of the polynomial function. \( -4,3, f(x)=3 x^{3}+7 x^{2}-14 x+24 \) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice A. The number -4 is a zero of the polynomial function because \( f(-4)=\square \) and the number 3 is not a zero of the polynomial function because \( f(3)=\square \). Neither -4 nor 3 is a zero of the polynomial function because \( f(-4)=\square \) and \( f(3)=\square \) B. The number -4 is not a zero of the polynomial function because \( f(-4)=\square \) and the number 3 is a zero of the polynomial function because \( f(3)=\square \). Both -4 and 3 are zeros of the polynomial function because \( f(-4)=0 \) and \( f(3)=0 \). D.
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