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find the x-intercepts of the polynomial fuction

find the x-intercepts of the polynomial fuction.state weather the graph crosses the x-axis or touches the x-axis and turns around at each intercept.
x^5-30x^3+125x=0

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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) }}}
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