IF THE POLYNOMIAL
[tex] {x}^{4} - 6 {x}^{3} + 16 {x}^{2} - 25x + 10[/tex]
IS DIVIDED BY ANOTHER POLYNOMIAL
[tex] {x}^{2} - 2x + k[/tex]
, THE REMINDERS COME OUT TO BE x+a , FIND k AND a.
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[tex] {x}^{4} - 6 {x}^{3} + 16 {x}^{2} - 25x + 10[/tex]
IS DIVIDED BY ANOTHER POLYNOMIAL
[tex] {x}^{2} - 2x + k[/tex]
, THE REMINDERS COME OUT TO BE x+a , FIND k AND a.
DON'T SPAM PLEASE..✌️
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Step-by-step explanation:
Thus ,
Remainder = -9x + 2kx + 10 - 8k + k²
= ( 2k -9 ) x+ k² -8k + 10
According to question
Remainder = x + a
( 2k -9) x + k² - 8k + 10 = x+a
comparing
2k - 9 = 1
2k = 10
k = 5
k² - 8k + 10 = a
Putting k = 5
a= (5)² - 8(5) + 10
a = 25 - 40 + 10
a = -5
Therefore, k = 5 and a = -5
Hope it helps you
Answer:
Go through the attachment..