Math ( Polynomial )
posted by Jack on .
If the polynomial, x^4  6x^3 + 16x^2  25x + 10 is divided by another polynomial x^2  2x + k, the remainder comes out to be x + a, find k + a, please work the complete solution instead of giving simply an answer.

by using long division,
divide x^46x^3+16x^225x+10with x^22x+k,
then you will find:
remainder=(9+2k)x +108k+k^2
comparing with x + a,
9+2k=1,k=5
a=108k+k^2,a=5
therefore k + a=55=0