Factor the trinomial, or state that the trinomial is prime
7x^2+4x+3

Question

anonymous · Answer

(x+1)(7x+2)  or its prime... I think?  Damn thats a tricky one.

anonymous · Answer

If I'm wrong its the +1 and the +2

jim_thompson5910 · Answer

7x^2+4x+3 is prime

Why? Multiply 7 and 3 to get 21. Now which two numbers multiply to 21 AND add to 4 (the middle coefficient)? There are no two rational numbers that do this, so the polynomial is prime.

anonymous · Answer

Wohoo I was right lol  I felt kinda stupid.

anonymous · Answer

Or calculate the discriminant b^2-4ac and note that it is negative so no real solutions..

anonymous · Answer

If you want it factored, it does factor just not over the reals.
It factors using the quadratic formula:
$$\frac{-4 \pm \sqrt{16-4(7)(3)}}{2(7)}=\frac{-4 \pm \sqrt{-68}}{14}=\frac{-2 \pm \sqrt{17}i}{7}$$
So it factors to:
$$(x-(\frac{-2+\sqrt{17}i}{7}))(x-(\frac{-2-\sqrt{17}i}{7}))$$

anonymous · Answer

can you help with my other Q'S?

anonymous · Answer

Sure :P

anonymous · Answer

Factor and simplify the algebraic expression. $$(x+9)^1/4+(x+9_)^3/4$$