[latex] \frac{(4-2x)(x+1)}{( x^{2} +3x-10)(x-3)^3} \geq 0[/latex]

[latex] \frac{(4-2x)(x+1)}{(x^2+3x-10)(x-3)^3} \geq 0\\\\ \frac{-2(x-2)(x+1)}{(x+5)(x-2)(x-3)^3} \geq 0\; ,\; \; ODZ:\; \; x\ne -5,\; \; x\ne 2,\; \; x\ne 3\\\\ \frac{2(x+1)}{(x+5)(x-3)^3} \leq 0\\\\---(-5)+++ (-1)--- (2)--- (3)+++\\\\x\in (-\infty ,-5)\cup[\, -1,2)\cup (2,3)[/latex]