1. Warm-Up 5 minutes Simplify. 1) (x2)(x4) x6 2) (3x3y5)(12xy-2) 36x4y3
_____
3y2

2. More on Polynomials Objectives:
SWBAT To write polynomials in ascending and descending order
To evaluate polynomials
Why? So you can apply these principles to real-world situations.
Mastery is 80% or better on 5 min checks and Indy work.

3. Example 1
Arrange each polynomial in descending order for the variable x.
a) 3x x7 – 4x6
= 4x7 – 4x6 + 3x + 3
b) 7xy2 +5x3y3 – 3x2y
= 5x3y3 – 3x2y + 7xy2

4. Example 2
Collect like terms and arrange in descending order for the variable x.
4xy3 – 3x5y4 + 2xy3 + 4
= -3x5y4 + 6xy3 + 4

5. Practice
Collect like terms and arrange in descending order for the variable x.
1) 3x2 – 2x + 3 – 5x2 – 1 - x
2) -4x2y + xy – 2x2y – xy + 3x3y

6. Example 3 Evaluate each polynomial for the given value.
a) x2 + x + 1 for x = 3 = =
= 13
b) 3x3 + 2x for x = 2
= 3(2)3 + 2(2)2 + 5 =
= 37

7. Practice Evaluate each polynomial for the given value.
1) -4x – 7 for x = 3
-19
2) -5x2 + 7x for x = 3
-14
3) 2x2y + 5xy – 4 for x = -4 and y = 5 56

8. Example 4
If a rock is thrown upward at a speed of 80 ft per second, the height it reaches in t seconds is 80t – 16t2. Find the height of the rock after 1 second, 2 seconds, and 4 seconds.
1 second
2 seconds
4 seconds
80t - 16t2
80t - 16t2
80t - 16t2
= 80(1) – 16(1)2
= 80(2) – 16(2)2
= 80(4) – 16(4)2 = = =
= 64 ft
= 96 ft
= 64 ft

9. Practice
The lung capacity in liters for a woman can be estimated by the polynomial
0.041h – 0.018A – 2.69
(height (h) in centimeters; age (A) in years)
Find the lung capacity for a 25 year-old woman who is 170cm tall.
0.041(170) (25) -2.69
– 2.69
3.83 LITERS IS THE LUNG CAP OF A 25 YR OLD WOMAN 170CM TALL
How will age and height change the outcomes?

10. Homework
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