Download Working with Polynomials Classifying Polynomials: Exponent

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

page
1
page
2
page
3
page
4
page
5
page
6
page
7
page
8
page
9
page
10
page
11
page
12
page
13
page
14
page
15
page
16
page
17
page
18
page
19
page
20
page
21
page
22
Document related concepts
no text concepts found
Transcript 
Working with Polynomials
Name __________________
Date_____
Classifying Polynomials:
monomial:
binomial:
trinomial:
Exponent Properties:
Zero Exponents
Product of Powers
Power of a Power
Power of a Product
Power of a Quotient
Quotient of Powers
Negative Exponents
Degree of a Function:
Of a monomial:
Of a polynomial:
Standard Form of a Polynomial:
1
polynomial:
8-1: Multiplying Monomials
2
Name __________________
Working with Polynomials
Date_____
8-1 (cont’d): Multiplying Monomials
Determine whether each expression is a monomial. Write yes / no. Explain.
1. 11
2. a – b
3. p2
q2
4. y
5. j3k
6. 2a + 3b
Simplify.
1. n2*n7
2. x(x2)(x4)
3. (–x3)( –x4)
4. (rs)(rs3)(s2)
6. (–3j2k4)(2jk6)
7. (–5xy)(4x2)(y4)
8. (n7)4
10. (4x2b)3
11. (4x)2(b3)
12. (2a3b2)(b3)2
Simplify.
5.
(2a3b)(6b3)
9. –3(ab4)3
3
13. (–3j2k3)2(2j2k)3
14. (2xy)2(-3x2)(4y4)
15. (–2n6y5)( –6n3y2)(ny)3
16. –3(2x)4(4x5y)2
Express the area of each figure as a monomial.
17.
18.
19.
Express the volume of each solid as a monomial.
20.
21.
22.
4
Name __________________
Working with Polynomials
8-2: Dividing Monomials
5
Date_____
6
Name __________________
Working with Polynomials
8-2 (cont’d): Dividing Monomials
7
Date_____
8
Name __________________
Working with Polynomials
Date_____
8-3: Polynomial Properties
Fill in the chart for each expression given.
Given
Standard Form
(rewrite with exponents
in descending order)
Degree of polynomial
(the largest exponent
of a variable)
1. 5mn + n2
2. 4by + 2b – by
3. –32
4.
5. 5x2 – 3x-4
6. 2c2 + 8c + 9 – 3
7. 12
8. 3r4
9. b + 6
10. 4a3 – 2a
11. x2 + 3x3 + 27 + x
12. 25 – x3 + x
13. x - 3x2 + 4 + 5x3
14. x2 + 64 – x + 7x3
15. 36
16. 3q2 + 5
17. 7x – x + 5
18. 8g2h – 7gh + 2
19. 4y2 + 5y – 8
20. 6x + x2
21. 15m
22. x4 – 6x2 – 2x3 – 10
9
Classify the polynomial
(monomial, binomial,
trinomial, polynomial)
Given
Standard Form
(rewrite with exponents
in descending order)
Degree of polynomial
(the largest exponent
of a variable)
23. 4x2 – 1
24. 5x + x2 + 6
25. 6x + 9 – 4x
26. x4 + x2 – x4
27. 2x3 – x + 3x7
28. 2x + x – 5
29. 20x – 10x2 + 5x3
30. x2 + 4x2 – 10x5
31. 9x + 3x2 – 6x3
32. x3 + x5 – x3
33. x4 + 4x3 – 7x5 + 1
34. –3x6 – x5 + 2x8
35. –15x3 + 10x4 + 7x
36. x2 + 3x3+ 27 – x
37. 25 – x + x
38. x – 3x2 + 4x + 5x3
39. x2 + 64 – x + 7x3
40. 7a2b + 3b2 – a2b
41. ½y3 + y2 – 9
42. 6g2h3k
43. x + 3x4 – 21x2 + x3
44. 8x2 – 15 + 5x3
45. 13x2 – 5 + 6x3 – x
46. 4x + 2x5 – 6x5 + 2x
10
Classify the polynomial
(monomial, binomial,
trinomial, polynomial)
Name __________________
Working with Polynomials
Date_____
8-3 (cont’d): Classifying Polynomials
Rewrite each expression in standard form. Then identify the degree of the expression and
classify it by the number of terms.
11
12
Name __________________
Working with Polynomials
8-4: Adding & Subtracting Polynomials
13
Date_____
14
Name __________________
Working with Polynomials
8-4 (cont’d): Adding & Subtracting Polynomials
15
Date_____
16
Name __________________
Working with Polynomials
8-5: Multiplying a Polynomial by a Monomial
17
Date_____
18
Name __________________
Working with Polynomials
8-6: Multiplying Polynomials
19
Date_____
20
Name __________________
Working with Polynomials
8-6 (cont’d): Multiplying Polynomials
21
Date_____
22
Related documents