+0  
 
0
61
1
avatar

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

Guest Aug 18, 2017
Sort: 

1+0 Answers

 #1
avatar+4476 
+4

 

  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)    
hectictar  Aug 18, 2017

19 Online Users

avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details