Respuesta :

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'.