The fundamental theorem of algebra states that a polynomial with degree n has at most n solutions. The "at most" depends on the fact that the solutions might not all be real number.
In fact, if you use complex number, then a polynomial with degree n has exactly n roots.
So, in particular, a third-degree polynomial can have at most 3 roots.
In fact, in general, if the polynomial
has solutions
, then you can factor it as

So, a third-degree polynomial can't have 4 (or more) solutions, because otherwise you could write it as

But this is a fourth-degree polynomial.
Answer:
D. There is a nonlinear relationship between the speed and fuel efficiency.
Step-by-step explanation:
A desirable residual plot should show a horizontal band with points randomly distributed about the horizontal axis.
Leonard's plot is definitely nonlinear.
The residuals show a good fit to a parabola.
This suggests that the relation between speed and fuel efficiency may be parabolic.
Answer:
B im pretty sure
Step-by-step explanation:
8 - {x - (5 + x)}
= 8 - {x - 5 - x}
= 8 + 5
= 13
Answer:
of coure. this is alternative B.