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What two rational expressions sum to 3x+2/x2−3x−10 ?

Enter your answer by filling in the underlines. Enter your answer so that each rational expression is in simplified form.

3x+2/x2−3x−10  = ___/___(x-5) +  ____/____(x+2)

 

Tried doing it myself but i feel like im extremely way off

 Sep 9, 2019
 #1
avatar+104723 
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Not as hard as it looks.....factor the denominator.....then.....split into two fractions......the stuff in red is what you need in the blanks

 

 

      3x + 2                   3x +  2                        3x                       2

___________  =   _____________  =   ___________   +  ____________

x^2 - 3x -  10         (x - 5) ( x +2)            (x + 2) (x - 5)        (x - 5) (x + 2)

 

 

cool cool cool

 Sep 9, 2019

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