(a) Find the value of the real number k, for which the polynomial P(x)=x3−kx+2 has the number 2 as a root. In addition, for the value of k you will find, write this polynomial as the product of two polynomials with integer coefficients.
(b) If the positive real numbers a,b satisfy the equation 2a+b+ab4=10, find the maximum possible value of a. algebrapolynomialinequalities