Question

factorise by splitting the middle term 12x^2-7x+1

Answer 1

  -12x2 + 7x - 1  =   -1 • (12x2 - 7x + 1) 

Trying to factor by splitting the middle term

 3.2     Factoring  12x2 - 7x + 1 

The first term is,  12x2  its coefficient is  12 .
The middle term is,  -7x  its coefficient is  -7 .
The last term, "the constant", is  +1 

Step-1 : Multiply the coefficient of the first term by the constant   12 • 1 = 12 

Step-2 : Find two factors of  12  whose sum equals the coefficient of the middle term, which is   -7 .

     

-12

   +   

-1

   =   

-13

     

-6

   +   

-2

   =   

-8

     

-4

   +   

-3

   =   

-7

   

Answer 2

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