Analytic Geometry
Midterm Study Guide
Name:
Date:
Per.
Solve each quadratic. Each answer should be asimplified, exact (no decimals, only radicals- if necessary) solution.
(Use any method you would like. Please show all work for credit.)
1.
2.
x2 + lOx = -25
X2*f0x+2S*-O
-5
2.
-E± i/71
2
O
-c/+ P7n
X =-S
3.
1
-L|±j|(p-q(is)
(X.4S$ * O
Jt-t-*5 **^ -:
x2 + 4x + 15 = 0
3x2 + 21 =0
-H ± 2.(71
3* : -*'
3. _X.
-*',Fi
nf*«Fi
' *« lift
Solve Each Quadratic Inequality - (Please show all work.)
Write your set of answers as either a compound inequality or in interval notation
si* i MC|
4. x2- 49 >0
4»wtt
-T
-^
5. x2 - 4x- 12 <0
«wv*.
T
4.
-«—Gp>vW»V\'H0'V'V*O »
-2-
<*
*£•"> or x^7
C"2.^
5
-7t*LG>
gfytivvvttvi«i'iO—•
Factor the following expressions.
7)2x2-3x-5 $%
H^f
8) 9x2+ 12x ♦ 4
H)(*'%)
7. fa-*\(x*i)