Honors Algebra 2 Notes
4.7 Complete the Square Day 1
Name ________________
Factor the following Perfect Square Trinomials:
x2
a)
+
18x
81
+
x2
b)
!
16x
64
+
x2
c)
+
3
4
x
+
9
64
Find the value of c that makes each expression a perfect square trinomial. Then, write the
expression as a square of a binomial.
x2
1.
14x
+
+
a2
2.
c
+
12a
c
+
3.
m2
+
11m
+
2
Steps to Complete the Square for ax + bx + c = 0
1.
2.
3.
4.
5.
6.
7.
The coefficient of the quadratic term must be 1. Divide each side by ________.
Isolate the constant term.
Create a perfect square trinomial. (Finding c above).
Balance the equation.
Add _____________ to both sides of the equation.
Write the left side as a binomial squared.
Take the square root of each side.
Solve for x.
Solve each of the following by completing the square.
4.
x2
6.
3a 2
!
+
14x
a
19
+
!
2
0
=
=
0
5.
v2
7.
2d 2
18
+
!
10d
9v
=
+
5
=
0
c