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How do you factorise 5x(x)-13x+6

 Aug 18, 2017
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  5x2 - 13x + 6           

Let's split the middle term.

 

Since  5 * 6 = 30  , we need two numbers that add to  -13  and multiply to 30  .

What two numbers add to  -13  and multiply to  30  ?  →  -10  and  -3

 

=    5x2 - 10x - 3x + 6   Notice if we combine like terms, we get the original expression.
                              Factor  5x  out of the first two terms.
= 5x(x - 2) - 3x + 6    
              Factor  -3  out of the last two terms.
= 5x(x - 2) - 3(x - 2)    
          Factor  (x - 2)  out of both terms.
= (x - 2)(5x - 3)    
 Aug 18, 2017

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