Question

x to the power 4 - 6 x ^ 3 + 60 x square - 25 x + 10 divoded by x^2 minus 2x add 5​

Answer 1

Here you go.....

You may do some what like this........

Given that the remainder is (x + a) ⇒ (4k – 25 + 16 – 2k)x + [10 – k(8 – k) ] = x + a ⇒ (2k – 9)x + [10 – 8k + k2 ] = x + a On comparing both the sides, we get 2k – 9 = 1 ⇒ 2k = 10 ∴ k = 5 Also 10 – 8k + k2 = a ⇒ 10 – 8(5) + 52 = a ⇒ 10 – 40 + 25 = a ∴ a = – 5

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