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2 votes
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

User Prolfe
by
4.3k points

1 Answer

6 votes

Answer:

As


p(-5) = 0

Thus, the correct option is 'd'.

Explanation:

We know that the special theorem of remainder states that:

if


x-k is a factor of
p(x)

then


p(k) = 0

so


x+5 = x-(-5)


k = -5

Thus,


p(k) = 0


p(-5) = 0

Thus, the correct option is 'd'.

User Ben Evans
by
4.7k points
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