Answer
3d³ + 10d² + 8d = 0
factorized gives
d (3d + 4) (d + 2) = 0
The zeros then include
d = 0
d = -(4/3)
d = -2
Explanation
We've been asked to factorize the given polynomial
3d³ + 10d² + 8d = 0
d (3d² + 10d + 8) = 0
d = 0
OR
3d² + 10d + 8 = 0
3d² + 6d + 4d + 8 = 0
3d (d + 2) + 4 (d + 2) = 0
(3d + 4) (d + 2) = 0
d (3d² + 10d + 8) = 0
gives
d (3d + 4) (d + 2) = 0
d = 0
OR
3d + 4 = 0
3d = -4
d = -(4/3)
OR
d + 2 = 0
d = -2
Hope this Helps!!!