Question

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

Algebra II
ANSWERED
asked 2021-06-26

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

Answers (1)

2021-06-27

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.
\(\displaystyle{\left(-∞,{0}\right)}∪{\left({1},{\left(\frac{{3}}{{2}}\right)}\right)}\)

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