write a polynomial that representsthe product of three consecutive odd integers tge forst one being(2x-1).
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we know that the difference between two consecutive odd numbers will be 2
the other Three can be written as
2x-1+2=2x+1
2x-1-2=2x-3
2x-1-4=2x-5
now their product will be
(2x+1)(2x-3)(2x-5)
2x(2x-3)+1(2x-3)(2x-5)
(4x2-6x+2x-3)(2x-5)
(4x2-4x-3)(2x-5)
2x(4x2-4x-3)-5(4x2-4x-3)
8x3-8x2-6x-20x2+20x+15
8x3-28x2+14x+15
hope it helps
the other Three can be written as
2x-1+2=2x+1
2x-1-2=2x-3
2x-1-4=2x-5
now their product will be
(2x+1)(2x-3)(2x-5)
2x(2x-3)+1(2x-3)(2x-5)
(4x2-6x+2x-3)(2x-5)
(4x2-4x-3)(2x-5)
2x(4x2-4x-3)-5(4x2-4x-3)
8x3-8x2-6x-20x2+20x+15
8x3-28x2+14x+15
hope it helps
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