Find a polynomial function f(x) of degree 3 with real coefficients that satisfies the following conditions. Zero of 0 and zero of 2 having multiplicity 2; f(3) = 12The graph of the function has more than one turning point. Use your graphing calculator to find the coordinates of the turning point that lies in the given interval. f(x) = 6x - 8x - x +2, [- 1,0]Express f(x) in the form f(x) = (x -k)q(x) + r for the given value of k. f(x) = 2x 3 2 + x +x - 5, k= - 1\fFor the following polynomial function, use the remainder theorem and synthetic division to find f(k). f(x) = x" - 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 Hit}. x}=x2 +5: +r; k=2+i E) ls 2+ 1' a zero of the function? Select the correct choice below and, if necessary, ll in the answer box to complete your choice. Use synthetic division to decide whether the given number it is a zero of the given polynomial function. If it is not, give the value of k}. t[x}=x3 +4x22x+2, k =1+ i E) Is 1 + i a zero of the function? Select the correct choice below and, if necessarv, fill in the answer box to complete vour choice