If the polynomial x⁴- 6x³- 16x² - 25 x + 10 is divided by (x²-2x + k )
the remainder comes
out to
be (x + a). Find k and a
Answers
Answered by
1
Answer:
On dividing x4 - 6x3 - 16x2 - 25x + 10 by x2 - 2x +
∴ Remainder = (2k - 9)x - (8 - k)k + 10
But the remainder is given as x+a.
On comparing their coefficients,
2k - 9 = 1
⇒ k = 10
⇒ k = 5 and,
-(8 - k)k + 10 = a
⇒ a = -(8 - 5)5 + 10 = -15 + 10 = -5
Hence, k = 5 and a = -5
plzz follow me ❤️❤️
it is very important question more And more practice.....
Attachments:
Answered by
1
ANSWER:
K=5,A=-5
Step-by-step explanation:
On dividing x4 - 6x3 - 16x2 - 25x + 10 by x2 - 2x + k
∴ Remainder = (2k - 9)x - (8 - k)k + 10
But the remainder is given as x+a.
On comparing their coefficients,
2k - 9 = 1
⇒ k = 10
⇒ k = 5 and,
-(8 - k)k + 10 = a
⇒ a = -(8 - 5)5 + 10 = -15 + 10 = -5
Hence, k = 5 and a = -5
Attachments:
Similar questions