f(0) = -14 is easy to
calculate. You can actually note that other than -14, every coefficient are
positive, so f will be increasing for x > 0 and it will eventually hit zero,
turn positive, and continue on getting larger. So it has exactly 1 positive
real root. So this means that it only has exactly 1 positive real root
and these would be the possible numbers of positive real,
negative real, and complex zeros of f(x) = 4x3 + x2 + 10x – 14.
Positive Real: 1.
Negative Real: 2 or 0.
Complex: 2 or 0
The correct answer between all the choices given
is the second choice or letter B. I am hoping that this answer has satisfied
your query and it will be able to help you in your endeavor, and if you would
like, feel free to ask another question.
