Question

if a polynomial x power 4 - 6 x cube + 16 X square - 25 x + 10 is divided by another polynomial x square - 2 X + K the reminder comes out to be X + a find K and a

Answer 1

I hope, you will understand this and if you have any doubt you can ask me immediately

Answer 2

k=5

a=-5

Step-by-step explanation:

4 - 6 x cube + 16 X square - 25 x + 10 is divided by another polynomial x square - 2 X + K 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,  

10-40+25=a

Therefore, a=-5