SOLUTION: I am getting confused, I am getting stuck in dividing this equation I need help. (30b^3 + 8b^2 + 34b + 29) division sign (6b + 4)

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Question 383579: I am getting confused, I am getting stuck in dividing this equation I need help.
(30b^3 + 8b^2 + 34b + 29) division sign (6b + 4)
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
I am getting confused, I am getting stuck in dividing this equation I need help.
(30b^3 + 8b^2 + 34b + 29) division sign (6b + 4)

use synthetic division:
............5b^2 - 2b + 7
6b + 4 --> 30b^3 + 8b^2 + 34b + 29
...........30b^3 + 20b^2
.................-12b^2 + 34b
.................-12b^2 - 8b
..........................42b + 29
..........................42b + 28
.................................1
5b^2 - 2b + 7 + 1/(6b + 4)
check:
(6b + 4)(5b^2 - 2b + 7 + 1/(6b + 4))
5b^2(6b + 4) - 2b(6b + 4) + 7(6b + 4) + 1/(6b + 4) * (6b + 4)
30b^3 + 20b^2 - 12b^2 - 8b + 42b + 28 + 1
30b^3 + 8b^2 + 34b + 29, yes