Question

x+3 and 2x-1 are factors of 2x^4+ax^3+bx^2+ax+3. find a and b and hence determine all the zeros of the quartic?

Answer 1

x+3 and 2x-1 are factors so x=-3 and x=1/2 are roots of that polynomial : use this to find
a and b and then factorize the polynomial