Dividing with exponents?

Question

How do you solve this division problem?:

30x⁷+36x⁶+35x⁵ divided by 5x⁶

Thank you!

Answer 1

You set it up like you would long division:

5x6 | 30x7+36x6+35x5

30x7 / 5x6 = 6x

36x6 / 5x6 = 7 with remainder x6 so add that to next term

x6 / 5x6 = 1/5

35x5 / 5x6 = 7/x

So you'd get: 6x + 7 + 1/5 + 7/x

Multiply that by 5x6 and you'll get te original polynomial.