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If the polynomial f(x)-x'-6x3 + 16x2-25x + 10 is divided by another polyncx2-2x +k, the remainder comes out to be x + a, find k and a. |
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Answer» 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 + aOn comparing both the sides, we get2k – 9 = 1 ⇒ 2k = 10∴ k = 5Also 10 – 8k + k2= a⇒ 10 – 8(5) + 52= a⇒ 10 – 40 + 25 = a∴ a = – 5 |
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