Solve (-18x^3+17x+6) / (3x+2)

We are asked in the problem to determine the quotient of the polynomial - 18x^3+17x+6 and the function 3x + 2. In this case, we can use synthetic division:

-2/3 | - 18 0 17 6 12 - 8 - 6 - 18 12 9 0

Answer to this problem is - 18x2 + 12 x + 9

(-18x^3+17x+6) / (3x+2)

first, you solve the exponents and get (-54x+17x+6) / (3x+2)

then you combine like terms on both sides to get (-37x+6) / (3x+2)

now divide to get 12.333 ... x+3

Answer: 12.333 ... x+3