1. Bellwork 3/16
1.) Write in standard form: 2x - 3x2 = 2
2.) Use a2 + b2 = c2 to find c if a = 6 and b = 8.
3.) Solve for x: x = 20

2. Bellwork 3/16
1.) Write in standard form: 2x - 3x2 = 2
2x - 3x2 = 2
2x - 3x2 -2 =
-3x2 + 2x -2 = 0

3. 2.) Use a2 + b2 = c2 to find c if a = 6 and b = 8. 62 + 82 = c2
Bellwork 3/16
2.) Use a2 + b2 = c2 to find c if a = 6 and b = 8.
= c2
= c2
100 = c2
c = 10

4. Bellwork 3/16 3.) Solve for x: 2x2 - 30=20 2x2 - 30 + 30 = 20 + 30

5. Today’s Objective
1.) To be able to line up the like terms of 2 polynomials.
2.) To be able to add and subtract polynomials.

6. Terms to write down
1.) Monomial - a number, variable, or product of either with only exponents of 0 or positive integers.
y, -x, ab, 1/3x, x2, 8, xy2, (abc2)3
Examples

7. Special Note
1.) Monomial - No monomial has a variable as an exponent, nor does it have a variable in the denominator of a fraction.
3/y, xa

8. Terms to write down
2.) Polynomial - is the sum or difference of monomials.
Any Monomial is also a polynomial
a-b, 7-x, -2x2 +xy-3,
1/8x - xy2, r + 9, 6
Examples

9. Adding Polynomials Add 5x + 7 and 8 - 2x (5x + 7) (-2x + 8) + =or

10. Adding Polynomials Add 5x + 7 and 8 - 2x line up the 5x + 7 -2x + 8
like terms +
3x + 15

11. Subtracting Polynomials
subtract 3a + b from 7a + 5b
(7a + 5b)
(3a + b) = -
7a + 5b -3a - b =
7a -3a + 5b - b
4a + 4b or

12. Subtracting Polynomials
Subtract 3a + b from 7a + 5b
line up the
(7a + 5b)
(3a + b)
like terms -
4a + 4b

13. c2 + 8c - 3 c2 + 5c + 4 3c - 7 c2 + 5c + 3c + 4 - 7 Adding Polynomials
Add c2 + 5c + 4 and 3c - 7
c2 + 5c + 4
3c - 7 + =
c2 + 5c + 3c
c2 + 8c - 3 or

14. c2 + 8c - 3 c2 + 5c + 4 3c - 7 Adding Polynomials
Add c2 + 5c + 4 and 3c - 7
line up the
c2 + 5c + 4
3c - 7
like terms +
c2 + 8c - 3

15. Today’s Objective
To understand the similarities and differences of:
Monomials (1)
Binomials (2)
Trinomials (3)
Polynomials (Many)

16. Monomials Have one term such as: 6, 7a, 5x2, -4m3n2 -4m3n2 Why is
a monomial?
-4m3n2

17. Binomials Have two terms such as 5x + 3, 6y2 - 2, a - b, 2x2y - 3xy2
Notice:
The terms are separated by one operation sign (+ or -)

18. Trinomials Have three terms such as: 3x2 + 5x - 6 -3m + m3 -2
Notice:
The terms are separated by two operation signs (+ or -)

19. Explain the difference between a monomial, binomial, and a trinomial to your neighbor

20. Be ready to answer the following questions:
1.) What separates the terms of a polynomial?
2.) How many signs separate the terms of a trinomial?
operation signs 2

21. Which of these are monomials?
1.) x2 y2, x2 /y2, 1/7, ax2 + bx + c, 1/x + y
Why aren't the others
Monomials?

22. Which of these are Polynomials?
1.) x2 + y2, x3, x2 - 1/3, ax2 + bx + c, 1/x + y
Why isn't 1/x + y
a polynomial?

23. Clssifying Polynomial
Polynomials are Classified by degree.
The Degree is determined by the exponents of the terms.
For example:

24. The degree of a Monomial
Is the sum of the exponents of the variables of the monomial.
Monomial Degree x
x3 y2 5
3x3 y2 5
32x3 y2 5

25. The degree of a Monomial
Is the sum of the exponents of the variables of the monomial.
Monomial Degree x
x y

26. The degree of a Polynomial
Is the highest degree of any of its terms after the poly has been simplified.
Polynomial Degree
3x2 + 5x

27. The degree of a Polynomial
Polynomial Degree
3x2 + 5x
3x2 -9xyz +y+z
x + y
2x2 +7x -3y-2x

28. ascending
going up
the stairs

29. descending
going down
the stairs

30. Descending order of Polynomials
From the highest degree to the lowest degree of the terms.
3x2 + 5x + 7
3x3 + 5x2 - 2x + 7 2 1 2 1 3

31. Ascending order of Polynomials
From the lowest degree to the highest degree of the terms.
7 + 5x + 3x2
7 - 2x + 5x2 + 3x3 1 2 3 1 2

32. Classwork Finish worksheet 17 Computer Activity Homework
poly4-2 & AlgaBlaster (polynomials)
Homework
page150 (1-32)

33. homework
Worksheet 10.1 (1-18)