1. Warm-up Answers:

2. Homework Answers: P3 (55-58 all, 83-90 all, 91-99 odds, 101-108 all) 55. 556. 2 57. -258. -5 83. 684. 11 85. 286. 3 87. 2588. 489. 1/1690. 1024 91. 14x 1/4 93. 4x 1/4 95. x 2 97. 5x 2 |y| 3 99. 27y 2/3 101. 5 1/2 102. 7 1/2 103. x 2 104. x 3 105. x 2/3 106. x 2/3 107. x 2/3 y 1/3 108. x 1/3 y 2/3

3. Notes P4: Simplifying Polynomial Expressions Polynomials– A polynomial is an algebraic expression in the form of: The degree of the polynomial is determined by the highest exponent. Is a polynomial of degree 5. There are 3 terms, so it is called a trinomial!

4. What happens if there are two variables? You must add the two variable exponents together! 3x 2 y 3 - 4xy 2 + 7y Add 2 + 3 = 5, the degree of this polynomial is 5.

5. Polynomial or NOT? A polynomial cannot have a negative or rational exponent! It can only have addition and subtraction of terms: no division. Examples: Non-Examples:

6. Add, Subtract, Multiply or Divide Ex 1: Answer: Ex 2: Ex 3: Ex 4: (7x+4)(8x-9) (5x-3) 2 = 25x 2 - 30x + 9

7. YOU TRY: Answers: (3x- 4) -6 (3x-4) -2 b: d: a: (3x 2 - 4x) – (-6x 2 - 5x + 3) c: (3x 2 - 4x) (-6x 2 - 5x + 3) (3x 2 - 4x) +(-6x 2 - 5x + 3) a.9x 2 + x – 3 b. -3x 2 –9x+3 c. -18x 4 +9x 3 +29x 2 -12x d. (3x-4) –4 = 1/(3x-4) 4

8. Summary: Explain how to find the degree of a polynomial with two variables?