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cantuj723
20.10.2020 •
Mathematics
For a polynomial P(x), the quotient P(x)/(x-2) has a remainder of 12. What is the value of P(2)? Please explain. Thanks :)
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Ответ:
12
Step-by-step explanation:
P(x) has infinitely many solutions, but I am going to find the easiest one, which would be a linear equation.
First, notice that x-2 perfectly divides into itself.
Then, if you add 12 to x-2, you will end up with a remainder of 12. Therefore, P(x) would be x-2+12 = x+10.
Now that we know P(x), we can directly plugin 2 to find out P(2):
2+10 = 12
Therefore, P(2) = 12.
Ответ: