# Polynomial Functions Worksheet

It is important in mathematics to always use the proper
notation. Please

use the proper mathematical notation for all Worksheet problems.

1. Use synthetic division to divide P(x) = 2x^{4} - x^{3} -
6x^{2} + 7x - 2 by

d(x) = x + 1, and write P(x) in the form P(x) = Q(x) ·
d(x) + r(x).

2. Use the Rational Root Theorem to find the possible
zeros of P(x), and

use synthetic division to find all the zeros . Be sure to check for multiple

zeros , and state the multiplicity of each zero .

3. Write P(x) as a product of linear factors .

4. Sketch the graph of P (x) = 2x^{4 }- x^{3 }- 6x^{2 }+ 7x - 2. Be sure
to indicate

all the zeros , and the y- intercept .

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