Perfect Square Trinomials, Difference of Squares,and the Quadratic Formula
Perfect Square Trinomials, Difference of Squares, and the Quadratic Formula
WarmUp:
Multiply the binomials and look for patterns
Ex. 1
Multiply these expressions. Describe any patterns you observe.
Perfect Square Trinomial
Both expressions have three terms: the square of
a, twice a times b , and the 
Ex. 3
Multiply these expressions and describe any patterns you observe
Difference of Squares
The expression has two terms : the square of a and the square of b. 
Ex. 5
Identify each expression as a perfect square trinomial, difference of squares,
or
neither. Factor (unless its neither).
Quadratic Formula use the form of the equation:

Group Project
Use the quadratic formula on these equations to check that you are using it
correctly.
Answers: x = 2 and x = 6
Answers x = 1.5 and x = 1
Answers x = 2.5 and x =  2.5
Solve these equations
Ex. 6
Use the quadratic formula to solve these equations
Answer Key
Warm Up (page 1)
Ex. 1 (page 1)
Ex. 3 (page 2)
Ex. 5 (page 2)
1. pst (x + 1)(x + 1)
2. pst (y + 2)(y + 2)
3. neither
4. dos (2x + 5)(2x  5)
5. neither
6. neither
7. pst (y + z)(y + z)
Group Project (page 3)
see answers
Solve these equations (page 3)
1. x = 3 and 0.5
2. x = 0.869 and 1.535
(rounded to the nearest thousandth)
Ex. 6 (page 3)
1. x = 0.5 and 3
3. no solution
4. x = 1.569 and 0.318
(rounded to the nearest thousandth)
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