What do we i mean by solving a polynomial equation Meaning Il: Suppose we can solve the equation xT=c,i.e.taking roots,try to express the the roots of a degree n polynomial using only the usual algebraic operations (addition,subtraction,multiplication,division)and application of taking roots. In this sense,one can solve any polynomials of degree 2,3 or 4 and this is in general impossible for polynomials of degree 5 or above.What do we mean by solving a polynomial equation ? Meaning II: Suppose we can solve the equation x n = c, i.e. taking roots, try to express the the roots of a degree n polynomial using only the usual algebraic operations (addition, subtraction, multiplication, division) and application of taking roots. • In this sense, one can solve any polynomials of degree 2,3 or 4 and this is in general impossible for polynomials of degree 5 or above