Question

x² - 2x +k ÷ x⁴ - 6x³ + 16 x² - 25 x + 10​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

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