Question

-5x^2+11x+6


Is this prime? And if it is why it is.

Answer 1

It doesn't seem to factor with rational coefficients; you can check by solving for the roots of the function. If the roots are rational, you can usually factor.\[-5x^2+11x+6=0 \implies x=\frac{11 \pm \sqrt{241}}{10}\]Irrational roots means not factorable.

Answer 2

So that means it is prime, correct?

Answer 3

Yup. Do math every day.

Answer 4

Thank you so much! :)

Answer 5

No sweat.