How do you divide x5−x3−x2−17x−15x2−2?
1 Answer
Jan 5, 2016
Long divide the coefficients to find:
x5−x3−x2−17x−15x2−2=(x3+x−1)+−15x+13x2−2
...not forgetting to include
Explanation:
I like to long divide the coefficients, not forgetting to include
This is similar to long division of numbers.
Reconstructing polynomials from the resulting sequences we find that the quotient is
That is:
x5−x3−x2−17x−15x2−2=(x3+x−1)+−15x+13x2−2
Or if you prefer:
(x5−x3−x2−17x−15)=(x2−2)(x3+x−1)+(−15x+13)
