Question

Algebra 2 question, please help!

Answer 1

Let the leading term of the polynomial, f(x), be axⁿ.

Examine the possibilities.
     n      a      x -> - ∞     x -> +∞
-------   ----     -----------  ------------
even   a>0    f -> +∞     f -> +∞   Not true
even   a<0    f-> - ∞      f-> -∞    True
odd     a>0    f-> -∞      f-> +∞    Not true
odd     a<0    f-> +∞     f-> -∞     Not true

Answer:
(a) the degree of the polynomial is even, and
(b) the coefficient of the leading term is negative.

Answer 2

Answer:

Even, then Negative due to limit

Step-by-step explanation: