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3d^3+10d^2+8d=0 factor

Sagot :

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!!!