Mathematics
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OpenStudy (anonymous):
(-3x^3-3x^2+2x-4) / (x-1/3). Determine the remainder for the following using the remainder theorm. The remainder is different from 0 and is equal to??
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jimthompson5910 (jim_thompson5910):
The remainder theorem is
If P(x) is divided by x-k, then the remainder r is r = P(k)
jimthompson5910 (jim_thompson5910):
In this case, P(x) = -3x^3-3x^2+2x-4 and k = 1/3
OpenStudy (anonymous):
ok so how would i work this. I've worked it once and it was wrong.
jimthompson5910 (jim_thompson5910):
P(x) = -3x^3-3x^2+2x-4
P(1/3) = -3(1/3)^3-3(1/3)^2+2(1/3)-4
Keep going
OpenStudy (anonymous):
ok one second let me work it
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jimthompson5910 (jim_thompson5910):
ok
OpenStudy (anonymous):
i got -34/9
OpenStudy (anonymous):
would that be the end result?
jimthompson5910 (jim_thompson5910):
-34/9 is the remainder, so you are correct
OpenStudy (anonymous):
so that is the answer?
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jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
i want to ask another one u going to be here a second? did u check my work on that one?
jimthompson5910 (jim_thompson5910):
yes, -34/9 is the correct answer
OpenStudy (anonymous):
It says to type it in as a simplifed fraction so would that be simplifed
OpenStudy (anonymous):
?
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jimthompson5910 (jim_thompson5910):
yes it's fully simplified, it's the final answer
OpenStudy (anonymous):
i'm going to post another one will u help me on it?
jimthompson5910 (jim_thompson5910):
sure
OpenStudy (anonymous):
I posted it . :)