Solutions to Quiz 2B
www.math.ufl.edu/˜harringt
September 8, 2007
1. Factor Completely.
(a)
x
2
+ 7
x
+ 5
Here we will use the
AC
Method. The
AC
= 5
*
1 = 5. However, there are
no two numbers
a, b
such that
a
+
b
= 7 and
ab
= 5. Hence, the polynomial is
prime.
(b) 2
x
2
+ 7
xy

4
y
2
AC
Method: Here
AC
=

4
*
2 =

8.
Futhermore,
AC
=

8 = 8
*
(

1) and 8

1 = 7 (The middle term.)
Thus,
2
x
2
+ 7
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 Fall '08
 WILLIAMSON
 Math, Calculus, Algebra, Prime number, Futhermore, AC Method

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