Question

If the polynomial x4-6x3-16x2+25x+10 is divided by another polynomial x2-2x+k,, the remainder comes out to be x+a,,, find k and a​

Answer 1

Step-by-step explanation:

The value of k and a is 5 and -5 respectively.

Step-by-step explanation:

and reminder = x+a

On diving the above given equation, we get ,

Given the reminder is (x+a)

(4k-25+16-2k)x+[10-k(8-k)] = x+a

On comparing on both sides, we get

2k-9=1

2k=10

Therefore, k=5

Also, 10-8 k+k^{2}=a

10-40+25=a

Therefore, a=-5