Math, asked by vibha90, 8 months ago

• If the polynomial x - 6x' + 16x” – 25x + 10 is divided by another polynomial x-2x +k,
the remainder comes out to be x + a, find k and a.
​fastttt

Answers

Answered by amankalwani77
1

Answer:

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,  

10-40+25=a

Therefore, a=-5

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Answered by ItzMahira
3

Answer:

k = 5

a = -5

step-by-step explanation:

on doing simple division,

the remainder we get is

(2k-9)x + (k^2-8k+10)

But it is given that,

remainder = x + a

=> (2k-9)x + (k^2-8k+10) = x+ a

on equatting the coefficients,

we get,

2k-9 = 1

=> k = 1+9/2

=> k = 10/2

=> k = 5

and

k^2 - 8k +10 = a

=> a = 5^2 -8×5 + 10

=> a = 25-40+10

=> a = -5

the division done is in the attachments.

kindly refer to it.

Attachments:
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