\f\fFor the following polynomial function, use the remainder theorem and synthetic division to find f(k). f( x ) = x - 2 -7x+3; k=3+ iUse 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~ + 5x +7; 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.Use synthetic division to decide whether the given number k is a zero of the given polvnomial function. If it is not, give the value of k}. f[x}=x3 +4x22x+2, k=1+ i E) 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