Evaluate 5x^3 + 2 for x = -1.

Assuming we are applying -1 to 5x^3 + 2...

[tex]5\left(-1\right)^3+2 \ \textgreater \ \mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

[tex]\left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd} \ \textgreater \ \left(-1\right)^3=-1^3=-1 \ \textgreater \ 5\left(-1\right)+2[/tex]

[tex]\mathrm{Apply\:rule\:}a\cdot \left(-b\right)\:=\:-a\cdot \:b \ \textgreater \ 5\left(-1\right)=-5\cdot \:1=-5 \ \textgreater \ -5+2[/tex]

[tex]-5+2=-3 [/tex]

Therefore -3 is our answer.

Hope this helps!