t³+6t²-5÷3t+16

2 answers

To solve the expression:

t³ + 6t² - 5 ÷ 3t + 16

We can use long division or synthetic division.

Using long division:

t² 3t -15
3t +16 | t³ + 6t² - 5
- t³ + 3t²
-------------
3t² - 5
3t² +16t
------------
- 5t - 5
- 5t - 80
------------
75

Therefore, the answer is:

t² + 3t - 15 + (-5t - 5) ÷ (3t + 16)

or

t² + 3t - 15 - 5/(3t + 16)
AAAaannndd the bot gets it wrong yet again!
what kind of rubbish answer is that?

(t^3 + 6t^2 - 5) ÷ (3t + 16) = 1/3 t^2 + 2/9 t - 32/27 R 377/27