the polynomial which when divided by X square + X - 1 gives a question and x minus 2 and remainder 3 is
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Divisor = – x2 + x – 1 Quotient = x – 2 Remainder = 3 Now we have to find out Dividend… As we know that, Dividend = Divisor × Quotient + Remainder Dividend = ( – x2 + x – 1)(x – 2) + 3 = – x3 + x2 – x + 2x2 – 2x + 2 + 3 = – x3 + 3x2 – 3x + 5 So, The required polynomial is – x3 + 3x2 – 3x + 5Read more on Sarthaks.com - https://www.sarthaks.com/1075157/the-polynomial-which-when-divided-by-x-2-x-1-gives-a-quotient-x-2-and-remainder-3-is-a-x-3-3x-2-3x-5
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