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2x³-5x²-14x+8
trial n error method
x= -2
we get 0, so one factor is (x+2)
2x³+4x²-9x²-18x+4x+8=0
2x²(x+2) -9x(x+2) +4(x+2) = 0
(x + 2)(2x² -9x +4) = 0
(x + 2)(2x² -8x - x + 4) = 0
(x + 2){2x(x-4) -1(x-4)} = 0
(x+2)(x-4)(2x-1) = 0
x = -2, 4, 1/2
sum of zeroes= -2+4+1/2= 2+1/2= 4+1/2= 5/2
product of zeroes= -2*4*1/2= -1*4= -4
sum of product of zeroes taken 2 at a time= -2(4)+4(1/2)+1/2(-2)
= -8+2-1= -9+2
= -7
proved
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