Question 1140806
Roots are  {{{sqrt(2)}}}, and {{{-4}}}.  Wanting INTEGER coefficients, another root should be  {{{-sqrt(2)}}}.


{{{y=a(x-sqrt(2))(x-(-sqrt(2)))(x-(-4))}}}
-
{{{y=a(x-sqrt(2))(x+sqrt(2))(x+4)}}}
Next, you want to use the given point of the graph, (0, 16), to solve for the leading coefficient, "a".


You will want to finish your function as polynomial in descending order of degree.