1. 5.6 More on Polynomials
To write polynomials in descending order..
To evaluate polynomials.

2. To write a polynomial in descending order:
The term with the greatest exponent is written first.
The term with the next greatest exponent is written next, and so on.
If there is a constant, it is written last.
8x4 + 3x2 –2x +5

3. Arrange is descending order for the variable “x”
3x x7 – 4x6
4x7 – 4x6 + 3x + 3

4. Arrange is descending order for the variable “x”
7xy5 + 5x3y3 – 3x2y
5x3y3 – 3x2y+ 7xy5

5. -5x5 + 16x3 + 5x2 - 7x -19

6. -x5y2 – 9x4 + x3 – x2y3 + 7xy + 10

7. x4y – 6x3y5 – x2y +x -17

8. Collect Like Terms and Then Arrange in Descending Order
4x³ + 3x ²+ 5x³ -2x²
4x³ + 3x ²+ 5x³+ -2x²
9x³ + x²

9. Evaluating a polynomial:
Replace the variable with a number and calculate the result.
Example:
Evaluate 3x + 5 for x = 6
3(6) + 5 = 23

10. 13

11. 6

12. -3(22) +16(3) + 5
36 + 5 41

13. 31

14. Evaluate Polys on the Calculator 2x³+4x² – 5 for x=12
2 Ways:
1.) 2 (12) ^3 + 4(12)^2 – 5 =
2 (12) yx (12) yx =
2.) 12 STO
2 · RCL yx · RCL yx 2 – 5 =
ANSWER : 4027

15. Assignment: Page 229 (2-36) even