Think you’ve got your head wrapped around Polynomials? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. According to Descartes Rule of signs, which of the following is true of the polynomial f(x) = x3 + 2x2 – x – 2?
It may have one positive root and two negative roots.
It may have two positive roots and one negative root.
It may have one real root and two complex roots.
It may have two positive roots and two negative roots.
It may have three positive roots and no negative roots.
Q. According to Descartes Rule of signs, which of the following is true of the polynomial f(x) = x4 + x3 – 2x2 – x – 2?
It may have three positive roots and one negative root.
It may have two real roots and two complex roots.
It may have one positive root and three negative roots.
It may have two positive roots and two negative roots.
It may have three positive roots and one negative root.
Q. Which of these is an upper bound for 
x = 0
x = 1
x = 4
x = 10
None of them
Q. Which of these is a lower bound for y = x3 + 4x2?
x = 0
x = -1
x = -4
x = -10
None of them
Q. A polynomial goes through the points (2, -1) and (4, 3). What do we know for sure about the polynomial's zeros?
The polynomial has a zero at x = 3.
The polynomial does not have any zeros smaller than 2.
The polynomial has at least one zero somewhere between x = 3 and x = 4.
This proves nothing about the zeros of the polynomial.
There are no zeros of even multiplicity between x = 2 and x = 4.
Q. How does the graph of y = (x − 3)3(x + 3)2 change around x = 3, from left to right?
It starts negative and stays negative.
It changes from positive to negative.
It changes from negative to positive.
It starts positive and stays positive.
It leaves Earth's orbit.
Q. How does the graph of y = (x – 1)4(x + 5)4(x + 1)4 change around x = -5, from left to right?
It starts negative and stays negative.
It changes from positive to negative.
It changes from negative to positive.
It starts positive and stays positive.
It hits puberty.
Q. How does the graph of y = (x – 1)(x + 5)(x + 1) change around x = -5, from left to right?
It starts negative and stays negative.
It changes from positive to negative.
It changes from negative to positive.
It starts positive and stays positive.
It uses the boost to get through.
Q. How does the graph of y = -(x – 1)2(x + 1)7 change around x = 1, from left to right?
It starts negative and stays negative.
It changes from positive to negative.
It changes from negative to positive.
It starts positive and stays positive.
It uses the boost to get through.
Q. What are the roots of y = x3 + 2x2 – 4x – 8?
x = -1, 0, and 1
x = -2 and ±2i
x = 2
x = -2
x = -2 and 2