Download Unit 2 Algebra Investigations

Bellwork
Find the product:
1. (x + 3)(x + 3)
2. (x – 2)(x – 2)
Pop Quiz
1. How do you add two numbers that have
different signs?
2. How do you add two numbers that have the
same sign?
3. What kind of answer do you get when you
multiply two numbers with the same sign?
4. What kind of answer do you get when you
multiply two numbers with different signs?
Unit 2 Algebra Investigations
Lesson 1: Exploring Algebraic
Expressions and Equivalent
Expressions
Notes 2.3: Find Special Products
of Polynomials
SPECIAL PRODUCTS
Square of a binomial pattern:
(a + b)2 = a2 + 2ab + b2
(a – b)2 = a2 – 2ab + b2
Sum and difference pattern:
(a + b)(a – b) = a2 – b2
(Ex 1) Use the square of a binomial pattern.
Find the product:
a) (4x + 3)2
(Ex 1) Use the square of a binomial pattern.
Find the product:
b) (3x – 5y)2
Checkpoint:
Find the product.
1. (x + 9)2
2. (2x – 7)2
3. (5r + s)2
(Ex 2) Use the sum and difference pattern.
Find the product:
a) (n + 3)(n – 3)
(Ex 2) Use the sum and difference pattern.
Find the product:
b) (4x + y)(4x – y)
Checkpoint:
Find the product.
4. (z + 6)(z – 6)
5. (4x + 3)(4x – 3)
6. (x + 5y)(x – 5y)