You can put this solution on YOUR website! find the x intercepts of this equation:
x intercept occurs when y = 0
x^4 - x^3 - 6x^2 = 0
Factor out x^2
x^2(x^2 - x - 6) = 0
Factor again
x^2(x-3)(x+2) = 0
Three solutions
x^2 = 0
x = 0
and
x = 3
and
x = -2
