Question 1
For which combination of degree parity and leading coefficient sign does a polynomial satisfy $f(x)\to-\infty$ as $x\to\pm\infty$?
Question 2
For the polynomial $f(x)=(x+1)^2(x-2)^3$, which describes the graph behavior at its zeros?
Question 3
What is the maximum number of turning points of a fourth-degree polynomial?
Question 4
Which describes the end behavior of a cubic polynomial with a positive leading coefficient?
Question 5
Determine the sign of $f(x)=(x-1)(x+2)^2(x-4)$ on the interval $1<x<4$.
