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2. A cubic curve T has equation y=7x + Ax + Bx+5, xe R. The graph of T meets the x-axis at (-5,0). When the

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2. A cubic curve T has equation y=7x + Ax + Bx+5, xe R. The graph of T meets the x-axis at (-5,0). When the equation of T is divided by ( x-1), the remainder is 96. (a) Determine the value of A and B. Hence, find the reminder when the equation of T divided by (2x + 1 ) . [7 marks] (b) Factorize completely the equation of T. [4 marks] C3, CLO 3, PLO 4, PEO 3, MOF LOD 6

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