Find a degree 4 polynomial having zeros − 5 , − 3 , 3 and 8 and the leading coefficient is equal to − 2 .

Question

Find a degree  polynomial having zeros , ,  and  and the leading coefficient is equal to . 

Answer 1

p(x) = -2(x + 5)(x + 3)(x - 3)(x - 8)

You can expand this to standard form if you wish.