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Perfect Square Trinomials, Difference of Squares,and the Quadratic Formula

Perfect Square Trinomials , Difference of Squares, and the Quadratic Formula

Warm-Up:
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
square of b .

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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