Posted by **Jack** on Saturday, April 13, 2013 at 11:04am.

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.

- Math ( Polynomial ) -
**black_widow**, Saturday, April 13, 2013 at 3:35pm
by using long division,

divide x^4-6x^3+16x^2-25x+10with x^2-2x+k,

then you will find:

remainder=(-9+2k)x +10-8k+k^2

comparing with x + a,

-9+2k=1,k=5

a=10-8k+k^2,a=-5

therefore k + a=5-5=0

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