Question

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

Answer 1

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

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

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

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

$-5+2=-3$

Therefore -3 is our answer.

Hope this helps!

Answer 2

$\huge\text{Hey there!}$

$\mathsf{5x^3 + 2}\\\mathsf{= 5(-1)^3+2}\\\\\mathsf{(-1)^3}\\\mathsf{= -1\times-1\times-1}\\\mathsf{=1\times-1}\\\mathsf{= \bf -1}\\\\\mathsf{= 5(-1) + 2}\\\\\mathsf{5(-1)}\\\mathsf{= \bf -5}\\\\\mathsf{= -5 + 2}\\\mathsf{=\bf -3}\\\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \bf -3}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}$