Question 208454
x^5 - 30x^3 + 125x = 0
Factor out x
x(x^4 - 30x^2 + 125) = 0
Factor the quadratic
x(x^2 - 5)(x^2 - 25) = 0
three solutions
x = 0
and
x = +/-{{{sqrt(5)}}}
and
x = +/-{{{sqrt(25)}}}
x = +/-5
:
Each intercept crosses the x axis, as seen on the graph
{{{ graph( 300, 200, -8, 8, -100, 100, x^5-30x^3+125x) }}}