Question

Factor 3x^2 + 10x + 4.


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

Answer 1

Alright. Find the discriminant of the polynomial.

Answer 2

I think its D

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

thank you

Answer 8

:D