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xxchloekai
14.05.2021 •
Mathematics
Dividing the polynomial P(x) by x+5 yields a quotient Q(x) and a remainder 6 of . If Q(5)=2, find P(5) and P(-5).
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Ответ:
9514 1404 393
P(5) = 26
P(-5) = 6
Step-by-step explanation:
The remainder statement tells us ...
P(x) = Q(x)·(x +5) +6
Evaluating this for x=5, we get ...
P(5) = Q(5)(5+5) +6
P(5) = (2)(10) +6
P(5) = 26
And for x = -5, we have ...
P(-5) = Q(-5)(-5 +5) +6
P(-5) = 0 +6
P(-5) = 6
Ответ: