Question

Find a polynomial f(x) of degree 3 that has the following zeros. 6,2,-7,0      leave your answer in factored form

Answer 1

The polynomial will be found as follows;
given that the solution is x=6,x=2 and x=-7, it implies that roots are :
(x-6), (x-2) and (x+7)
Therefore the polynomial will be:
y=(x-6)(x-2)(x+7)
y=x^3-x^2-44x+84