Find the discriminant for the quadratic equation f(x) = 5x^2 - 2x + 7 and describe the nature of the roots.

Question

discriminant is 144, one real root
discriminant is -136, two complex roots <--?
discriminant is -136, one complex root
discriminant is 144, two real roots

If a binomial, x - a, divides a polynomial, what must be true in order for x - a to be a factor of the polynomial?

The remainder has to be 0.
The polynomial must be degree 3.
It must divide the polynomial in half. <-- ?
There cannot be any other factor x = a.

Answer 1

one out of two

if something goes into something else "evenly" (wholly), then ...

Answer 2

Which one is correct and huh? sorry I'm lost

Answer 3

1st one is correct

the division hint is for the 2nd

Answer 4

Thanks! :)