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If polynomial x^4-6x^3+16x^2-25x+10 is divided by x^2-2x+k,the reminder is x+a.Find k ,a

Answer» Given, remainder = x + aOn comparing the multiples of x(2k - 9)x = 1 {tex}{/tex}or, 2k - 9 = 1 or k = {tex}\\frac{10}{2}{/tex}\xa0= 5On putting this value of k into other portion of remainder, we getand a = 10 - 8k + k2\xa0= 10 - 40 + 25 = -5


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