Suppose a cubic polynomial f with leading term x cubed has one rational zero c and two irrational zeros which are a conjugate pair a + sq root of b and a - sq root of b, where are a and b rational numbers. 1) Does f have rational coefficients [yes or no]? 2) What is the polynomial f written in factored form? 3) After multiplying the factors, what is the polynomial? 4) Since a, b, and c are rational numbers and sq root of b is an irrational number [each or none] of the coefficients in f is rational?