Doing so will enable us to write polynomials as a

polynomial. Doing so will enable us to write polynomials as a product of linear factors.
Before reading Example 5, reread Section 4.4, Example 8.
EXAMPLE 5
Finding Possible Combinations of Real and
Complex Zeros
List the possible combinations of real and complex zeros for the given polynomials.
a. 17 x
5
2 x
4
3 x
3
x
2
5 b. 5 x
4
2 x
3
x 2
Solution:
a. Since this is a fifth- degree polynomial,
there are five zeros. Because complex
zeros come in conjugate pairs, the
table describes the possible five zeros.
R
EAL
Z
EROS
C
OMPLEX
Z
EROS
1 4
3 2
5 0