Makayla T.

asked • 07/10/19

F(x)=2x^2+5/(x-2)

Whitney S.

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07/10/19

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William W. answered • 07/10/19

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There is no question here so I'll guess at what is wanted. (2x2 + 5)/(x - 2) cannot be solved since there is no equal sign. It cannot be simplified because (x - 2) does not divide evenly into (2x2 + 5), in other words (2x2 + 5) is not factor-able.


But you can change its form. We can perform long division (or synthetic division) and find the quotient.


Long Division:

x goes in to 2x2, 2x times. 2x times x is 2x2 and 2x times -2 is -4x. Subtract to get 4x (subtraction changes the sign). Bring down the 5. Etc. There is a remainder of 13. That means you can write the quotient as 2x + 4 R13 or you can write it 2x + 4 + 13/(x-2)


Synthetic Division is performed similarly but since I don't even know if this is what the question is all about, I'm going to skip that.

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Brenda D.

tutor
Agreed, is there a specific question here?
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07/10/19

Mark H.

Also, some parentheses might be missing......is the x^2 term intended to be part of the numerator for the fraction?--If so, it should have had parentheses that include the 5
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07/10/19

William W.

Could be Mark. I didn't even think about that. In that case, perhaps the problem is to simplify the "mixed number" expression into a single expression. Not sure.
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07/10/19

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