1. Name:__________ warm-up 5-1
Find the number of seconds it will take an object to land on the ground if it is dropped from a height of 300 feet, assuming there is no air resistance. Use the equation h(t) = –16t 2 + h0, where h(t) is the height of the object in feet at the time t, t is the time in seconds, and h0 is the initial height in feet. Round to the nearest tenth, if necessary.
A s
B s
C. 7.4 s
D. 4.3 s

3. Details of the Day Activities: EQ:
How do polynomials functions model real world problems and their solutions?
I will be able to…
Activities:
Warm-up
Notes: 5-1 Operations on Polynomials
Test – Chapter 4 (40 mins)
Class work/ HW
Vocabulary:
simplify
degree of a polynomial
Multiply, divide, and simplify monomials and expressions involving powers. .
Add, subtract, and multiply polynomials.

4. 5-1 Operations on Polynomial
Add*Multiply* Divide*Subtraction*Squareroot Subtraction*Squareroot
+ - ÷ x+ - ÷ x+ - ÷
+ - ÷ x+ - ÷ x+ - ÷ + - ÷ x+ - ÷ x+ - ÷ + - ÷ x+ - ÷ x+ - ÷ + - ÷ x+ - ÷ x+ - ÷ + - ÷ x+ - ÷ x+ - ÷
+ - ÷ x+ - ÷ x+ - ÷
+ - ÷ x
Add*Multiply* Divide*Subtraction*Squareroot
Add*Multiply* Divide*Subtraction*Squareroot
Add*Multiply* Divide*Subtraction*Squareroot

5. A Quick Review
Find the number of seconds it will take an object to land on the ground if it is dropped from a height of 300 feet, assuming there is no air resistance. Use the equation h(t) = –16t 2 + h0, where h(t) is the height of the object in feet at the time t, t is the time in seconds, and h0 is the initial height in feet. Round to the nearest tenth, if necessary.
A s
B s
C. 7.4 s
D. 4.3 s

6. Notes and examples

7. Notes and examples Simplify the expression .
Assume that no variable equals 0.
Simplify the expression

8. Notes and examples
Simplify the expression. Assume that no variable equals 0.
Simplify the expression Assume that no variable equals 0.
Simplify the expression Assume that no variable equals 0

9. Notes and examples
Determine whether this is a polynomial. If it is a polynomial, state the degree of the polynomial.
. Is this a polynomial? If it is a polynomial, state the degree of the polynomial.

10. Notes and examples
Is this a polynomial? If it is a polynomial, state the degree of the polynomial.

11. Notes and examples Simplify (2a3 + 5a – 7) – (a3 – 3a + 2).
Simplify (4x2 – 9x + 3) + (–2x2 – 5x – 6).
A. Simplify (3x2 + 2x – 3) – (4x2 + x – 5).
Simplify (–3x2 – 4x + 1) – (4x2 + x – 5).

12. Notes and examples
Find –y(4y2 + 2y – 3).
Find –x(3x3 – 2x + 5).

13. Notes and examples
E-SALES A small online retailer estimates that the cost, in dollars, associated with selling x units of a particular product is given by the expression 0.001x 2 + 5x The revenue from selling x units is given by 10x. Write a polynomial to represent the profits generated by the product if profit = revenue – cost.

14. Notes and examples Find (a2 + 3a – 4)(a + 2).
Find (x2 + 3x – 2)(x + 4).