Algebra 2B
Mr. Lewis
2.6 Find Rational Zeros
2015-2016
Story Impression
Write a Math Related Paragraph with using the words below. Try to keep use them in order.
1. Rational Zero Theorem
𝒑
2. 𝒒
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Constant Term
Leading Coefficient
Factors
Possible Zero
Actual Zero
Synthetic Division
Solutions
Algebra 2B
Mr. Lewis
2.6 Find Rational Zeros
2015-2016
𝟓
Find all the Zeros of 𝒇(𝒙) = 𝟔𝟒𝒙𝟑 + 𝟏𝟓𝟐𝒙𝟐 − 𝟔𝟐𝒙 − 𝟏𝟎𝟓; given − 𝟐
The Rational Zero Theorem -
Use the Rational Zero Theorem to List the possible factors
a) 𝑓(𝑥) = 𝑥 3 + 2𝑥 2 − 11𝑥 + 12
b) 𝑓(𝑥) = 4𝑥 4 − 𝑥 3 − 3𝑥 2 + 9𝑥 − 10
On your own:
c) 𝑓(𝑥) = 𝑥 3 + 9𝑥 2 + 23𝑥 + 15
d) 𝑓(𝑥) = 2𝑥 3 + 3𝑥 2 − 11𝑥 − 6
There is a difference between
Find all Real Zeros
e) 𝑓(𝑥) = 𝑥 3 − 8𝑥 2 + 11𝑥 − 20
f) 𝑓(𝑥) = 𝑥 3 − 4𝑥 2 − 15𝑥 + 18
Algebra 2B
Mr. Lewis
2.6 Find Rational Zeros
2015-2016
Solve a multi-step problem – Ice Sculptures
Some Ice sculptures are made by filling a mold with water and then freezing it. You are
making such an ice sculpture for a school dance. It is to be shaped like a pyramid with a
height that is 1 foot greater than the length of each side of its square base. The volume of
the ice sculpture is 4 cubic feet. What are the dimensions of the pyramid mold?