Question

# Solve the polynomial inequality graphically. 3x^{4}-5x^{3}-12x^{2}+12x+16

Polynomial graphs
Solve the polynomial inequality graphically. $$\displaystyle{3}{x}^{{{4}}}-{5}{x}^{{{3}}}-{12}{x}^{{{2}}}+{12}{x}+{16}$$
We graph the left-hand side of the inequality and find x-intercepts at $$\displaystyle{x}=-{\frac{{{4}}}{{{3}}}},{x}=-{1},{x}={2}$$: