Question

The product of 3 consecutive integers decreased by the cube of the first is 85. Wahat are the integers?
THE GIVEN EQUATION IS:
(x)(x+1)(x+2)-xcube = 85
How can i solve this ?
first step: expand the polynomial. You will see that x^3 goes away, leaving you with just

3x^2+2x = 85
Now just solve as you normally would:

3x^2 + 2x - 85 = 0
(3x+17)(x-5) = 0

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