MTH 120 — Summer — 2005
Essex County College — Division of Mathematics and Physics
Bonus Question #1 1— Printed May 16, 2005
Name:
Signature:
The following questions are worth ten points total, and will be added to your quiz scores. Only
correct answers will be accepted. Due 05/19/2005.2
1. Solve3for x.4
X
k=0 4
k54−kxk= 32
Solution: Rewrite as a binomial to a power.
(x+ 5)4= 32
x+ 5 = ±4
√32
x=−5±4
√32
So x=−5 + 4
√32 or x=−5−4
√32 .
2. Find the term of
3x2
2−1
3x12
that does not contain x.
Solution: The general term has this form.
12
k3x2
2k−1
3x12−k
We’re looking for xto have a zero exponent.
x2k
x12−k=x3k−12 ⇒k= 4
1This document was prepared by Ron Bannon using L
A
T
E
X 2ε. Source and pdf are available by emailing a
request to rbannon@mac.com.
2Bonus questions are assigned on occasion, and have strict due dates that must be adhered to. If for some
reason you cannot physically make the due date, you can email either a pdf, plain text, or jpeg of your work.
Please do not send Microsoft Word files.
3Hint: It’s a binomial.
1
