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Mathematics 8 Online
OpenStudy (anonymous):

Which of the following is not a polynomial?

OpenStudy (akashdeepdeb):

Thhe definition of a polynomial might help. Here is a casual one. f(x) can only be a polynomial if x has a power of a NON-NEGATIVE INTEGER. See which of the following have a negative integer and strike them out! ^^ Understood? :)

OpenStudy (anonymous):

k12? and im thinking the last one

OpenStudy (anonymous):

thanks so much @AkashdeepDeb and @kira12341234

OpenStudy (anonymous):

no problem i hope you get a good grade

OpenStudy (anonymous):

yea thats it

OpenStudy (akashdeepdeb):

Not quite. The answer is 3/x Reason: That is because if f(x) = 3/x [Which it cannot be] f(x) = 3*\(x^{-1}\) But we know that x cannot be a negative integer and so the answer. :) Understood? :)

OpenStudy (akashdeepdeb):

yep.

OpenStudy (anonymous):

cool thank you I think I get that one.

OpenStudy (akashdeepdeb):

:)

OpenStudy (anonymous):

I'm thinking it's either the first or second one.

OpenStudy (akashdeepdeb):

Here is another hint: The power x carries cannot be a fraction either so which one do you think it is, now?

OpenStudy (akashdeepdeb):

nope. Try again! :D

OpenStudy (anonymous):

okay I get that now so is it -winces- the third one?

OpenStudy (akashdeepdeb):

yep. You got that right! :D

OpenStudy (anonymous):

\[THE DUMB BLONDE BRAIN DOESN'T FUNCTION PROPERLY\]

OpenStudy (anonymous):

THANK THE LORD!

OpenStudy (anonymous):

so what does this mean? : Find the degree of the polynomial. 2p2q – 3pq + q2

OpenStudy (akashdeepdeb):

Depends on what the polynomial is actually! The polynomial maybe f(p) or f(q) But I'll tall you the answer both ways. DEGREE MEANS THE HIGHEST POWER OF THE POLYNOMIAL! :D So \(2p^2q – 3pq + q^2\) has the degree as 2, as it is the highest power. Understood? :)

OpenStudy (anonymous):

Yeah! thanks so much! i really want to understand this so maybe a couple more?

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