Question

Find all the zeros of each function.
f(x)=5x^3 + 6x^2 + x

I know that you have to take out the x and that gives you 0. But what after?

Answer 1

\(5x^3+6x^2+x=x(5x^2+6x+1)\)

Answer 2

for some reason, It shows another number when I typed what I mean. :)
the last one is ok. ( I can't delete the previous one)

Answer 3

now, by testing, you can see that if x = -1, then \(5x^2 +6x+1 =0\) hence, -1 is a root of the equation, make synthetic to get the leftover