• 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.
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Answers
Answered by
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
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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