Factor 3x^2 + 10x + 4.

(3x − 4)(x − 1)
(3x − 2)(x − 2)
(3x − 4)(x + 1)
The polynomial is prime.

Question

Factor 3x^2 + 10x + 4.


       (3x − 4)(x − 1)
       (3x − 2)(x − 2)
       (3x − 4)(x + 1)
       The polynomial is prime.

solomonzelman · Answer

Alright.   Find the discriminant of the polynomial.

anonymous · Answer

I think its D

solomonzelman · Answer

The trinomial is going to be "factor-able" (into integer roots) only $\large\color{slate}{   \rm IF     }$ the discriminant is a perfect square.

solomonzelman · Answer

yes, you are thinking correctly.
$\large\color{slate}{    10^2-(4)(3)(4)  =52               }$
(and 52 is not a perfect square)

solomonzelman · Answer

Also, you can check the options, and it will not give you that initial trinomial you started with.

solomonzelman · Answer

I can tell you why, just by eye balling (if you want me to show), but as it is now - you are welcome !

anonymous · Answer

thank you

solomonzelman · Answer

:D