1. First Ten 8- 11

3. Degree: The largest exponent Standard Form: Descending order according to exponents Leading Coefficient: The number in front of the variable with the highest exponent (including sign)

4. # of Terms Name by # of Terms 1 Monomial 2 Binomial 3 Trinomial 4+Polynomial

5. Degree (largest exponent) Name by degree 0 Constant 1 Linear 2 Quadratic 3 Cubic 4 Quartic

6. Examples: Name the following by degree and number of terms. 1. 6x 3 Degree Name:_____________ # of Terms Name:_____________ 2. 12x 2 + 7x Degree Name:_____________ # of Terms Name:_____________

7. 3. 3x - 5 - 2x 2 Standard Form: Degree: Name by Degree: Leading Coefficient: Name by # of Terms:

8. Step 1: Group like terms together * same variable * same exponent Step 2: Simplify * Combine like terms

9. Examples 4. (2x 2 – 4x + 3) + (x 2 + 5x – 1) 5. (6 + x 2 ) + (2x – 8) 6. (5x - 3x 2 + 1) + (-6 + x 2 - 2x) 7. (2 - x 2 + x) + (x 2 - 2x + 4)

10. Step 1: Distribute the subtraction sign to the ( ) after it. Step 2: Group like terms Step 3: Simplify * Combine like terms

11. Examples 8. (3a 2 + 10a) - (8a 2 - a) 9. (7x - 3) - (9x – 2) 10. (3x 2 + 2x - 4) - (2x 2 + x - 1)

12. First Ten 8- 12 Simplify the following expressions then a)Write in Standard Form b)Classify by the number of terms c)State the leading coefficient d)State the degree 1)(7x 3 + 6x2 – 2x) + (9x 2 – 4x + 3) 2)(2x 2 – 4x + 4) – (-2x 2 – 5x + 4)

13. Multiply the coefficients Add the exponents

14. Examples (monomials) 1. (5x 2 )(-2x 3 ) 2. (2x 2 )(10x 3 - 7x 5 ) 3. (3x 2 )(3x 3 – 7x + x 2 + x 5 )

15. Step 1: Every term from the first binomial needs to get distributed to EVERY term in the second binomial Step 2: Group like terms Step 3: Simplify to trinomial (sometimes binomial) * Combine like terms

16. 4. (x + 9)(x + 3)

17. 5. (x+4)(x-7)

18. 6. (3w-1)(2w-4)

19. 7. (5b - 6)(3b 2 – 2b + 5)

20. 8. (b 2 + 1)(2b 2 + 4b - 11)

21. Last Ten 8- 12

22. First Ten 8 - 13 Simplify the following expression and write them in standard form 1)2x 4 (-5x 3 + 10x + 1) 2)(x + 2)(2x + 4) 3)(6x 3 – 1)(2x + 5) 4)(x + 2)(x 2 – 4x + 8)

23. Polynomials and Perimeter Perimeter: The length around the outside of a shape

24. 1) A triangle is shown below. Write an expression for the perimeter of the triangle. x 2 + 6x - 4 x 2 + 15 5x +2

25. 2. A sandbox has a length that is 6 inches longer than its width. Draw a picture then write an expression that represents the perimeter.

26. Polynomials and Area AREA: The space INSIDE of an object. Common Area Formulas Triangle: A = ½bh Rectangle: A = lw Circle: C = 2πr

27. 3. Write the expression for the area of the rectangle from problem #2

28. 4. Write an expression for the area of the following shape x + 6 2x - 4

29. Polynomials and Volume Volume: The space INSIDE of a three dimensional object. Cube/rectangular prism V = lwh l w h