Answer:
As
[tex]p(-5) = 0[/tex]
Thus, the correct option is 'd'.
Step-by-step explanation:
We know that the special theorem of remainder states that:
if
[tex]x-k[/tex] is a factor of [tex]p(x)[/tex]
then
[tex]p(k) = 0[/tex]
so
[tex]x+5 = x-(-5)[/tex]
[tex]k = -5[/tex]
Thus,
[tex]p(k) = 0[/tex]
[tex]p(-5) = 0[/tex]
Thus, the correct option is 'd'.