Question

x^4-x^3-6x^2=0

Answer 1

first of all if youre solving, it must be an equation, set equal to 0
x^4-x^3-6x^2=0
1. Factor. there is x to 2nd degree shared by all terms. this can be factored
x^2(x^2-x-6)=0
2. because of the zero product property at least one of the factors must be 0
x^2=0
x=0
continue with the other factor
it is a trinomial which can be factored
x^2-x-6=0
(x-3)(x+2)=0
set each factor equal to zero and solve
x=3 and x=-2
the zeroes of this equation are -2,0, and 3
that means the graph of this equation intersects the x axis at those x values

hope this helps!

Answer 2

thank you so much!