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If the polynomial x^4-6x^3+16 x^2-25 ...

If the polynomial `x^4-6x^3+16 x^2-25 x+10` is divided by another polynomial `x^2-2x+k` , the remainder copies out to be `x"\ "+"\ "a` . find k and a.

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The correct Answer is:
N/a

But it is given that remainder is `(x+a)` i.e., `1.x+a`
`:.` On comparing the coefficients of x and constant terms, we get
2k-9=1 and `k^(2)-8k+10=a`
Polynomial
`implies " " k=5`
`:. " " (5)^(2)-8(5)+10=a " " implies " " a=-5`
`:. " "k=5 " " and " " a=-5 " "` Ans.
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