Question

Can someone please help me with this homework question, I'm stumped

Answer 1

Answer:

$\Large{\underline{\blue{\underline{\red{(D)\:=\:-1}}}}}$

‎

Step-by-step explanation:

$f(m) = -5m^{4} - 17m^{3} - 4m^{2} +5m - 4$

${\sf{Putting\:m\:=\:-3\:in}}\:f(m)$

$f(-3) = -5(-3)^{4} - 17(-3)^{3} - 4(-3)^{2} +5(-3) - 4$

$f(-3) = -5(81) - 17(-27) - 4(9) +5(-3) - 4$

$f(-3) = 459 - 405 - 36 - 15 - 4$

$f(-3) = 459 - 460$

$\boxed{f(-3)\:=\:-1}$

Answer 2

$\large{ \textsf{ \textbf{ \color{navy}{Answer : }}}}$

${ \sf{\orange{(D)\:=\:-1 \: }}}{ \boxed{ \red{ \checkmark}}}$

$\large{ \textsf{ \textbf{ \color{navy}{Explanation : }}}}$

$\sf{f(m) = -5m^{4} - 17m^{3} - 4m^{2} +5m - 4}$

${\sf{Putting\:m\:=\:-3\:in\:f(m)}}$

$\sf{f(-3) = -5(-3)^{4} - 17(-3)^{3} - 4(-3)^{2} +5(-3) - 4}$

$\sf{f(-3) = -5(81) - 17(-27) - 4(9) +5(-3) -4}$

$\sf{f(-3) = 459 - 405 - 36 - 15 - 4}$

$\sf{f(-3) = 459 - 460}$

${\boxed{ \sf{ \green{f(-3)\:=\:-1}}}}$

Hence, the answer is -1 (option d.)