how do i find the x intercept of this function

f(x)= (3x^3-x^2+5x)/(x^3+10)

Question

how do i find the x intercept of this function

f(x)= (3x^3-x^2+5x)/(x^3+10)

anonymous · Answer

$$f(x)=\frac{ 3x^{3}-x ^{2}+5x }{ x ^{3}+10 }$$

anonymous · Answer

There is only one x intercept

You find it by making each x = 0

What do you get from that?

anonymous · Answer

you get 0

anonymous · Answer

Exactly. That's the intercept

anonymous · Answer

but dont you make the y value equal to 0 to solve for x

anonymous · Answer

That still equals 0

anonymous · Answer

and i want to know how we get that if make the y value equal o

anonymous · Answer

anonymous · Answer

because if the y value is = to 0 then that means the graph is on the x axis

anonymous · Answer

set your equation = to zero and solve for x to find x-intercepts

anonymous · Answer

i get $$0=3x^{3}-x ^{2}+5x$$

anonymous · Answer

factor out an x

anonymous · Answer

oh ok now it makes sense. if i factor our an x. Thanks ehuman

anonymous · Answer

you will have to use the quadratic to solve for two imaginary numbers, but remember that x also = 0 so three solutions

anonymous · Answer

Right Thanks

anonymous · Answer

your only true x intercept is at 0, you have two imaginary answers also