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Module 2                                                                                                                             31

1.  For f(x) = x3 – 7x2 + 8x + 16,

a.  Find f(10) using synthetic division.

b.  Is 10 a zero of the function?  Explain.

c.  Use synthetic division to determine if x + 1 is a factor of f(x).

d.  Is –1 a zero of the function?  Explain.

e.  List all of the zeros of the polynomial.

f.  Write the polynomial function as a product of linear factors.

2.  For the function ,

a.  State the degree of the polynomial.

b.  Use the Rational Zero Theorem to list all of the possible rational zeros.

c.  Use a graphing calculator to determine which numbers in the list of possible rational

zeros are probable rational zeros (indicated by the x-intercepts of the

graph).

d.  Use synthetic division to determine one rational zero.

e.  Use synthetic division or other algebraic methods to find all remaining

zeros.  List all of the zeros of the polynomial function.

f.  Write the polynomial function as a product of linear factors.

Finding Complex Zeros of Polynomial Functions

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