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A polynomial x^4 - 6x^3 + 16x^2 - 25x + 10 is divided by another polynomial x^2 - 2x + k the reminder comes as x + a .find the value of k and a........can anyone help??

A polynomial x^4 - 6x^3 + 16x^2 - 25x + 10 is divided by another polynomial x^2 - 2x + k the reminder comes as x + a .find the value of k and a........can anyone help??

Grade:NULL

1 Answers

Samiha Sarah
11 Points
5 years ago
divide x^4 – 6x^3 + 16x^2 – 25x + 10 by x^2 – 2x + k using division algorithm for polynomials
you will get the remainder as (2k – 9)x + (10 – 8k + k^2). And according to the question the remainder is x + a which is also 1x + a 
therefore, 2k – 9 = 1 and k = 5
And 10 – 8k + k^2 = a  and that is 10 – 8*5 + 5^2 = a  and therefore, a = -5

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