Setup and find all roots of the polynomial algebraically​ (Not Graphing)​ :

x cubed minus two x squared minus​ thirty-five x equals zero

2 answers

Factor the polynomial:
(x - 5)(x + 7)(x - 1) = 0

Roots:
x = 5, x = -7, x = 1
The robot tutor is answering a different question than the one that was asked.
When you expand "its" factored equation, you do not get the original.

original:
x^3 - 2x^2 - 35x = 0
x(x^2 - 2x - 35) = 0
x(x - 7)(x + 5) = 0
x = 0, 7, -5