To determine the roots of the polynomial h(x) = (x + 5)(x - 4)(9x + 3), we set the polynomial equal to zero and solve for ( x ):
(x + 5)(x - 4)(9x + 3) = 0
We can find the roots by setting each factor equal to zero:
1.First factor:
x + 5 = 0
x = -5
2.Second factor:
x - 4 = 0
x = 4
3.Third factor:
9x + 3 = 0
9x = -3
Thus, the roots of the polynomial are