Quadratic Functions In Vertex Form Worksheet - Math 2200 Unit 2 Page 28

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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

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