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12.If the expression px +3x-3and 2x -5x + p when divided by x - 4leave the same remainder, then the valueof p is(a) 0(c) 2(d) 3

Answer»

Given polynomials arepx³+3x²-3and2x³-5x+p

It is also given that these two polynomials leave the same remainder when divided byx-4

p(4)³+3(4)²-3 = 2(4)³-5(4)+p

64p+48-3 = 128-20+p

64p-p = 108-45

63p = 63

p = 1

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