>>11009233x * (x+1) * (x+2) = -210
(x^2 + x) * (x+2) = -210
x^3 +3x^2 + 2x = -210
x^3 + 3x^2 + 2x + 210 = 0
a way to factor a cubic polynomial is to find the factors of 210, since the free terms have to multiply together to get it
the factors are
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105
from there you can test numbers and divide them out from the equation to get a quadratic and use the quadratic formula to solve that. however, you can just see 5, 6, and 7 are all sequential numbers, so the answer is
(x+5)(x+6)(x+7) = 0
dunno if that's the method your teacher would want, but that's the best way i see that still shows some work
