Question

2x^100 + 6x^85 − 3x^38 + 3x^17 − 5 divided by
x + 1 using polynomial division?

Answer 1

Long division?

Answer 2

2x^100 / x = 2x^99
The next highest power after x^100 in the problem is x^85.
So there are missing powers and we need to use coefficient 0 to fill the missing exponents. This will result in 0x^99 + 0x^98 + .... + 0x^86
So the quotients will have alternating signs: -2x^98 + 2x^97 - 2x^96 .....

Follow the same logic to complete the rest.