\fUse synthetic division to decide whether the given number it; is a zero of the polynomial function. If it is not, give the value of it}. x}=x2 2x+2; k=1r C-- Is 1 f a zero of the function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. D A- The given it; is not a zero of the polynomial function. f{1 1' }= E. [Type an exact answer, using radicals and 1' as needed} 0 B. The given it is a zero of the polynomial function. Factor f(x) into linear factors given that k is a zero of f(x). f( x ) = x 4 + 3x 3 - 42x- - 172x - 168; k= -2 (multiplicity 2) In completely factored form, f(x) = Factor completely.)