mikeyhoppe
mikeyhoppe mikeyhoppe
  • 13-12-2020
  • Mathematics
contestada

Given a polynomial f(x), if (x + 5) is a factor, what else must be true?
f(0) = 5
Ob
f(0) = -5
Ос
f(5) = 0
Od
f(-5) = 0

Respuesta :

absor201
absor201 absor201
  • 13-12-2020

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'.

Answer Link

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