How to factor 2x^2+5x-3?

Question

I have the question factor this problem, 2x^2+5x-3. And I was told to multiply 2 by -3, which the answer is -6. And then add the factors of -6 to get the middle number. Which -1 plus 6 is 5 for 5x. But when I put (x-1)(x+6) I don't get 2x^2+5x-3. What am I doing wrong?

Answer 1

 2 X² + 5X - 3 =0        have to chose 2 numbers whose product is -3( 2) = -6

                                       and sum = 5 = 6 -1

 

                                              +6 , -1

 

   Break 5X to 6X - X

 

     2X² + 6X - x - 3 =0

 

      2X( X + 3 ) - ( X + 3) = 0        Factor by grouping

 

      ( X + 3 ) ( 2X -1 ) = 0

 

        X +3 = 0    X =-3        2X -1 = 0    X = 1/2