on dividing 3x² – 2x² + 5x -5 by a polynomial, the quotient and remainder are x? – X+ 2and -7 respectively. Find aly)
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Step-by-step explanation:
dividend = 3x^2 - 2x^2 + 5x - 5 = x^2 + 5x - 5 , quotient = x^2 - x + 2 and remainder = -7
by Euclid devision algorithm
dividend = divisor × quotient + remainder
divisor = 3x^3 - 2x^2 + 5x - 5 ÷ x^2 - x + 2 + (-7)
divisor = 3x^3 - 2x^2 + 5x - 5 + 7 ÷ x^2 - x + 2
divisor = 3x + 1
thus , the answer is 3x + 1
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