Unit 2 – Quadratics
Math 2200
28
Section 3.3 Completing the Square
(I)
Perfect Square Trinomials
(x – 3)
2
Example 1: Expand
=
Note: A perfect square trinomial
2
2
a trinomial of the form
+ + where
b
c
2
(II)
Factoring Perfect Square Trinomials
– 6x + 9
2
2
Example 2: Factor
(a)
x
(b)
x
+ 16x + 64
(III) Determining values of c and b in a perfect square trinomial
Example 3: Determine the value of c required to create a perfect square trinomial
– 6x + c
2
2
(a)
x
(b)
x
+ 16x + c