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15.12.2020 •
Mathematics
Given a polynomial f(x), if (x + 2) is a factor, what else must be true?
Оа
f(0) = 2
Ob
f(0) = -2
Oc
f(2)= 0
Od
f(-2) = 0
Solved
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Ответ:
Given:
(x+2) is a factor of polynomial f(x).
To find:
The correct statement.
Solution:
If (x-c) is a factor of polynomial f(x), then c is a zero of the polynomial and f(c)=0.
We have, (x+2) is a factor of polynomial f(x).
On comparing (x-c) and (x+2), we get
It means, -2 is a zero of the polynomial f(x) and the value the polynomial at x=-2 is 0, i.e.,
Therefore, the correct option is d.
Ответ: