Question

Describe the roots of the equation shown below 3x^2+4x+2=0.
A,) There are two complex roots
B.) there are two real roots
C.) there are two real, rational roots
D.) there is one real, double root

Answer 1

Do you know Descartes' Rule of Signs?

Answer 2

sadly no :/

Answer 3

Well maybe we can do without it. How about the Rational Roots theorem? Do you know that?

Answer 4

is it the one that has to do with the first coefficient?

Answer 5

You know what? I am making this way harder than it has to be. I originally thought this was a third degree polynomial, but it's not, it's only a second degree, so the answer is found quite simply, yay for us!

Answer 6

When you factor a polynomial, you are finding the roots of the polynomial. So let's just factor this like normal to get the job done!

Answer 7

Do you know the quadratic formula? That's a legit question this time!