Factor the trinomial if possible 6r2 23r 10Solution6r2 23r

Factor the trinomial, if possible

6r^{2 -} 23r + 10

Solution

6r^2 -23r +10

Now check value of b^2 -4ac = sqrt(23^2 - 6*10*4)

= 17

So we can factorise it : r = ( 23 +/- sqrt(23^2 - 6*10*4) )/12

= (23 +/- 17)/12

= 40/12 , 6/12

r = 10/3 ;r = 1/2

So, we can write 6r^2 -23r +10 = ( 3r -10)(2r -1)