F(x) = 3x^4 + 19x^3 + 69x^2 + 99x + 26
a) Use the Rational Zeros Theorem to list all the possible rational zeros of f(x). List all possible zeros.
b) Use synthetic division and the possible rational zeros above to obtain the FIRST zero. What is the first zero you used? Show the steps used using synthetic division that you
used to arrive at the answer.
c) Use synthetic division and the possible rational zeros to obtain the SECOND zero. What was the second zero you used? Show the steps used using synthetic division that
you used to arrive at the answer.
d) Find the remaining zeros by using factoring, the square root property, or the
quadratic formula.
e) List all the zeros
Show all the work