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