Factor the trinomial completely

Question

6p^2 -5p -6

Answer 1

Hi Paula,

 

6p²-5p-6 = 6p²-9p+4p-6

 

              =3p(2p-3)+2(2p-3)

 

              =(3p+2)(2p-3)

 

The solutions are

3p+2=0

 

p=-2/3

 

2p-3=0

 

p=3/2

Answer 2

by finding D = b^2-4*a*c , you can check whether the above equation is easily factorable. 

D=169, which is a perfect square, which means a factor able equation 

Using a quadratic equation, you can easily find out p = 18/12 or p=-8/12. Therefore,  

6p^2-5p-6=(2p-3)(3p+2)