2.4 Practice Assessment

Possible Questions

1. What can be deduced about fx=x4+6x3−24x2+26x−9 \n from the following synthetic division result?
2. Use Descartes’ Rule of Signs to determine the possible number of positive and negative real zeros of f(x)=−5x5+6x4+3x3−4x2+5x+9.
3. Find all the real zeros of the function.
4. Make a list of all possible rational zeros of f(x)=5x3−9x2−17x−3,�(�)=5�3−9�2−17�−3, and then use this list to find all of the functions’s rational zeros, if any exist.
5. Write the cubic polynomial function f(x)�(�)in expanded form with zeros −5,−5,−2,−2,and −1,−1, given that f(−3)=4�(−3)=4.
6. Write a polynomial function f (x) in expanded form where the only zeros are −1−1, 55, and 88.
7. Factor the polynomial f(x)=x4−9x3+12x2+80x−192�(�)=�4−9�3+12�2+80�−192given that 44and −3−3are zeros.