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Mathematics 18 Online
OpenStudy (maemae16):

Medal!!!! if you want one

OpenStudy (maemae16):

OpenStudy (maemae16):

ill give you a medal if you can help me answer it @MathIsCancer

OpenStudy (maemae16):

@jh99 @Kinged

jimthompson5910 (jim_thompson5910):

see this to get started http://openstudy.com/study#/updates/576c8a99e4b086f11349e3c3

OpenStudy (maemae16):

but i do not understand any of that

jimthompson5910 (jim_thompson5910):

do you agree that when you multiply two exponential expressions, such as x^2 and x^3, you add the exponents? x^2 times x^3 = x^(2+3) = x^5 agreed? or no?

OpenStudy (maemae16):

agreed but i don't understand where ur going with that

jimthompson5910 (jim_thompson5910):

well we use that idea to figure out what goes in the blank x^3 times _______ = x^6 just try to think in reverse of the last example

OpenStudy (maemae16):

so the answer would be x^3

jimthompson5910 (jim_thompson5910):

x^3 times x^3 = x^6, yes

jimthompson5910 (jim_thompson5910):

so this means x^3 times 2x^3 = 2x^6

OpenStudy (maemae16):

ok

jimthompson5910 (jim_thompson5910):

you'll write 2x^3 over the x^3 term in the dividend

OpenStudy (robtobey2):

\[\frac{2 x^6-9 x^5+4 x^2-5}{x^3-5}=2 x^3-9 x^2+10+\frac{45-41 x^2}{x^3-5}\]

OpenStudy (maemae16):

so its either \[2x^3-9x^3+4x-5 \] or \[2x^3-9x^2+10\] i thank its the second one but I'm not 100% sure

OpenStudy (maemae16):

@jim_thompson5910

OpenStudy (maemae16):

am i right

OpenStudy (robtobey2):

From Mathematica:\[\text{Together}\left[2 x^3-9 x^2+\frac{45-41 x^2}{x^3-5}+10\right] \]\[\frac{2 x^6-9 x^5+4 x^2-5}{x^3-5} \]

jimthompson5910 (jim_thompson5910):

2x^3-9x^2+10 is correct

OpenStudy (maemae16):

so is the answer \[2x^3-9x^2+10\]

OpenStudy (maemae16):

yay thank you

jimthompson5910 (jim_thompson5910):

yes

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