Degree and Order of Polynomials

Degree and Order of Polynomials

Objectives The student will be able to: 1. find the degree of a polynomial. 2. arrange the terms of a polynomial in ascending or descending order. What does each prefix mean? mono one bi

two tri three What about poly? one or more A polynomial is a monomial or a sum/ difference of monomials. Important Note!! An expression is not a polynomial if

there is a variable in the denominator. State whether each expression is a polynomial. If it is, identify it. 1) 7y - 3x + 4 trinomial 2) 10x3yz2 3) 5

7y 2 2y monomial not a polynomial The degree of a monomial is the sum of the exponents of the variables. Find the degree of each monomial.

1) 5x2 2 2) 4a4b3c 8 3) -3 0 To find the degree of a polynomial, find the largest degree of the terms. 1) 8x2 - 2x + 7

Degrees: 2 1 0 Which is biggest? 2 is the degree! 2) y7 + 6y4 + 3x4m4 Degrees: 7 4 8 8 is the degree! Find the degree of x5 x3y2 + 4 1.

2. 3. 4. 5. 0 2 3 5 10

A polynomial is normally put in ascending or descending order. What is ascending order? Going from small to big exponents. What is descending order? Going from big to small exponents. Put in descending order: 1) 8x - 3x2 + x4 - 4

x4 - 3x2 + 8x - 4 2) Put in descending order in terms of x: 12x2y3 - 6x3y2 + 3y - 2x -6x3y2 + 12x2y3 - 2x + 3y 3) Put in ascending order in terms of y: 12x2y3 - 6x3y2 + 3y - 2x -2x + 3y - 6x3y2 + 12x2y3 4) Put in ascending order: 5a3 - 3 + 2a - a2

-3 + 2a - a2 + 5a3 Write in ascending order in terms of y: x4 x3y2 + 4xy 2x2y3 1. 2. 3. 4. x4 + 4xy x3y2 2x2y3

2x2y3 x3y2 + 4xy + x4 x4 x3y2 2x2y3 + 4xy 4xy 2x2y3 x3y2 + x4

Recently Viewed Presentations

  • C++ Strings

    C++ Strings

    Strings. Big improvement on C "strings" Sequence of characters. Can be empty sequence. Strings are mutable in C++ (can be changed) Not same as literal or char * (but implicit conversion can be done)
  • Physics 123 "Majors" Section Unit 1

    Physics 123 "Majors" Section Unit 1

    Extension to N layers (or N+2, depending on how you want to count) Example 1 Example 2 Dielectric Mirrors/Filters Dielectric Mirrors/Filters Reading Quiz To get high reflectivity in a multilayer stack, each layer should have thickness: l l/2 l/4 l/6...
  • Global Weather Services in 2025 - Kelvin Droegemeier

    Global Weather Services in 2025 - Kelvin Droegemeier

    Provide information about CRAFT Technical strategy Reliability Cost Learn of private sector experiences to date in the use of real time Level II data from CRAFT Establish a clear set of non-government user needs and requirements for transmission back to...
  • UIL Spelling and Vocabulary Contest

    UIL Spelling and Vocabulary Contest

    "Pure Vowels" "Diphthongs - Vowel pairs" ... In Romance languages, like French and Spanish, vowels are predictable. Take for example the word "banana." In Spanish the three "a" sounds are identical, but in English, the because the stress falls on...
  • Welcome Vertical History Team! - projecttahoe

    Welcome Vertical History Team! - projecttahoe

    Welcome Vertical History Team! Please make sure to have your sheet filled out on possible topics/questions for your research paper and discussion lesson.
  • Formation relative  la ligne directrice GD211 Module 2

    Formation relative la ligne directrice GD211 Module 2

    Formation relative à la ligne directrice GD211 Module 2 Information au sujet du fabricant Survol Information au sujet du fabricant Nom et adresse du fabricant Numéro d'identification de l'entreprise Identité commerciale du fabricant Description du fabricant Portée de la certification...
  • So What Can We Do? A Counter- Jihad

    So What Can We Do? A Counter- Jihad

    -Option 2- a trade-off of subjugation under despots for subjugation under Islamists. Islamists continue to use the concept of Abrogation, where Mohamed's more hostile/intolerant teachings in Medina cancel out the earlier more tolerant Mecca guidelines, to gain traction in radicalizing...
  • Evans Garey - American Counseling Association - representing ...

    Evans Garey - American Counseling Association - representing ...

    Instrument: Religious Problem Solving Scale (Pargament, et al, 1988) & Brief Multidimensional Student Life Satisfaction Scale-PTPB (Bickman, Athay, Riener, Lambert, Kelley, Breda,..Andrade, 2010) Religious Problem Solving Scale has 12 items with 3 item for each scale with 4 point response...