Question

find the x intercepts of the polynomial function state whether the graph crosses the x axis or touches the x axis and turns around at each intercept      f(x)=2x²-x³

Answer 1

`f(x)=2x^2-x^3\\\\x-intercepts\ if\ f(x)=0\\\\2x^2-x^3=0\\\\-x^2(2-x)=0\iff-x^2=0\ \vee\ 2-x=0\\\\\underline{x=0}\ and\ \underline{x=2}`