Math Problem dealing w/ Long Polynomial Division

[qbkr21]

First off thanks for taking to time to read this question, I have been stuck on it for several days now. I need too turn it in rather quickly. I have gotton stuck, then found multiple answers all of which were never the same. Here is the question

What is the quotient?
What is the remainder?

Use long division to find the quotient and remainder when f(x)=-42x^4-21x^3+7x^2-49x+56 is divided by g(x)=7x+8

Thanks again for you help!

 

[stapel]

What is the quotient?

The quotient, informally, could be said to be "whatever you get on the top of the long-division thingy".

What is the remainder?

The remainder is whatever is left over once you can't do any more division.

For instance, in "13 ÷ 4", you get 3, with 1 left over. The "3" would be the quotient, and the "1" would be the remainder.

Use long division to find the quotient and remainder when f(x)=-42x^4-21x^3+7x^2-49x+56 is divided by g(x)=7x+8

Are you having trouble with this part, too? If so, what have you tried and how far have you gotten? (Note: Using "code" tags will probably be helpful for presenting this information:

          -6x^3
        ---------------------------------
7x + 8 ) -42x^4 - 21x^3 + 7x^2 - 49x + 56
         -42x^4 - 56x^3
        ---------------------------------

And so forth.)

Thank you.

Eliz.