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2Divide the polysomial 2-118 +34*-by X-2 and find the quotient and theMemander Also verifyalgoritherthe dicciscon |
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Answer» Given f(x) = x^4 - 11x^2 + 34x - 12. Given g(x) = x - 2. Now, we need to divide f(x) by g(x). x^3 + 2x^2 - 7x + 20 -----------------------------------x - 2) x^4 - 11x^2 + 34x - 12 x^4 - 2x^3 --------------------------------------- 2x^3 - 11x^2 + 34x - 12 2x^3 - 4x^2 ------------------------------------------- -7x^2 + 34x - 12 - 7x^2 + 14x - 12 ------------------------------------- 20x - 12 20x -40 ------------------------------------ 28 We know that Dividend = Divisor * Quotient + Remainder = > (x - 2) * (x^3 + 2x^2 - 7x + 20) + 28 = > x^4 + 2x^3 - 7x^2 + 20x - 2x^3 - 4x^2 + 14x - 40 + 28 = > x^4 - 11x^2 + 34x - 12 = > Dividend |
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