Determine a possible 4th degree polynomial function in factored form with its only zeros at (5,0) and (-3,0) and (-5,0) and (9,0)

Answer 1

The zeros are the same as the x-intercepts, so

f(x) = A(x - 5)(x + 3)(x + 5)(x - 9),

where A is real and A ≠ 0.