Question

# Solve the polynomial inequality graphically.2x^3−5x^2+3x<0

Algebra II

Solve the polynomial inequality graphically.
$$\displaystyle{2}{x}^{{3}}−{5}{x}^{{2}}+{3}{x}{<}{0}$$

We want to know when f(x) is less than 0. We know the x intercepts are: 0,1 and $$\frac{3}{2}$$ via factoring.
$$\displaystyle{\left(-∞,{0}\right)}∪{\left({1},{\left(\frac{{3}}{{2}}\right)}\right)}$$