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Mathematics 8 Online
OpenStudy (anonymous):

last one! help?

OpenStudy (anonymous):

OpenStudy (anonymous):

@Here_to_Help15 @Abhisar @Michele_Laino @dan815 @amistre64 @TheSmartOne @JFraser @e.mccormick

OpenStudy (here_to_help15):

yay i was the first lol

OpenStudy (anonymous):

;)

OpenStudy (here_to_help15):

Crap im late for my appointment hmu later cya

OpenStudy (michele_laino):

please wait a moment since I have to help another student

OpenStudy (anonymous):

ok

OpenStudy (michele_laino):

we can rewrite your polynomial as follows: I factor out x^2 between the first and second term: \[\Large {x^3} - {x^2} - x + 1 = {x^2}\left( {x - 1} \right) - \left( {x - 1} \right)\] where I have factored out -1, between the third and fourth term

OpenStudy (michele_laino):

@jessmitz

OpenStudy (michele_laino):

next I factor out x-1, so I get: \[\Large \begin{gathered} {x^3} - {x^2} - x + 1 = {x^2}\left( {x - 1} \right) - \left( {x - 1} \right) = \hfill \\ \hfill \\ = \left( {x - 1} \right)\left( {{x^2} - 1} \right) = \hfill \\ \hfill \\ = \left( {x - 1} \right)\left( {x - 1} \right)\left( {x + 1} \right) = \hfill \\ \hfill \\ = {\left( {x - 1} \right)^2}\left( {x + 1} \right) \hfill \\ \end{gathered} \]

OpenStudy (anonymous):

so it's false?

OpenStudy (michele_laino):

that's right! Since the exponent of the factor (x-1) is 2 and not 3

OpenStudy (anonymous):

that makes sense! thank you so much!!

OpenStudy (michele_laino):

thank you! :)

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