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anonymous

  • one year ago

can someone please help me with these question for a medal and fan?

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  1. anonymous
    • one year ago
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    What are the parts that make up a polynomial expression and how are they used to classify polynomials? How are the properties of exponents used when multiplying or dividing two monomials? How is the distributive property used when finding the product of two polynomials?

  2. anonymous
    • one year ago
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    polynomial can be either classified by number of terms or by degree

  3. anonymous
    • one year ago
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    if by number of terms: This is a monomial \[3x^2\]and this is a binomial \[x^2 +2x\]

  4. anonymous
    • one year ago
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    3 terms = trinomial like \[x^2 +4x + 6\]

  5. anonymous
    • one year ago
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    anything above are just call polynomial

  6. anonymous
    • one year ago
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    ok so I understand how they are classified now thank you can you help with the other questions please

  7. anonymous
    • one year ago
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    if we are classifying it by degree

  8. anonymous
    • one year ago
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    \[2x^5\] is a 5th degree polymial and \[10x^2\] is a 2nd degree polynomial

  9. anonymous
    • one year ago
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    when you divide same numbers with different powers you can just minus off the power, i.e: \[\frac{ 2^{10} }{ 2^4 } = 2^{10-4} = 2^6\]

  10. anonymous
    • one year ago
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    its the same thing for multiply except you add the power

  11. anonymous
    • one year ago
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    \[3^5 \times 3^7 = 3^{5+7} = 3^{12}\]

  12. anonymous
    • one year ago
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    wait are you answering the second question

  13. anonymous
    • one year ago
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    yea

  14. anonymous
    • one year ago
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    I don't get it

  15. anonymous
    • one year ago
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    which part?

  16. anonymous
    • one year ago
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    I just don't understand the way that applies to the second question. could you try to re-explain it to me?

  17. anonymous
    • one year ago
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    It says properties of exponents used in multiplying or dividing monomial

  18. anonymous
    • one year ago
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    you understand whats an exponent?

  19. anonymous
    • one year ago
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    yes

  20. anonymous
    • one year ago
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    and monomial?

  21. anonymous
    • one year ago
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    kinda could you explain that to me please

  22. anonymous
    • one year ago
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    its a polynomial with a single term like\[3x\]\[2x^4\]

  23. anonymous
    • one year ago
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    ok I get it

  24. anonymous
    • one year ago
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    you have learn multiplying/dividing indices yet?

  25. anonymous
    • one year ago
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    nope

  26. anonymous
    • one year ago
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    ok it looks something like this

  27. anonymous
    • one year ago
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    \[\frac{ 2^5 }{ 2^3 } = \frac{ 2 \times 2 \times 2 \times 2 \times 2 }{ 2 \times 2 \times 2 } \]

  28. anonymous
    • one year ago
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    then you realize you can cancel 3 of the 2s out in the fraction so it becomes 2 x 2 which is 2^2

  29. anonymous
    • one year ago
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    thats for dividing

  30. anonymous
    • one year ago
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    ok I get it but it still doesn't give an answer to the second question

  31. anonymous
    • one year ago
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    so in short you can just take the numerator power minus the denominator's one

  32. anonymous
    • one year ago
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    its asking you to use that property of exponent in monomial

  33. anonymous
    • one year ago
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    no its not it asking How are the properties of exponents used when multiplying or dividing two monomials?

  34. anonymous
    • one year ago
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    its behaves the same way

  35. anonymous
    • one year ago
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    as with normal integers

  36. anonymous
    • one year ago
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    ok can I have help with the last question please

  37. anonymous
    • one year ago
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    you know whats distributive property?

  38. anonymous
    • one year ago
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    distributive property is like \[y(5x+y) = 5xy + y^2\]

  39. anonymous
    • one year ago
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    as for the how part, we can multiply the terms from 1st polynomial with the 2nd

  40. anonymous
    • one year ago
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    \[(a+b)(x+y) = ax + ay + bx + by\]

  41. anonymous
    • one year ago
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    this pretty much explains it all

  42. anonymous
    • one year ago
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    you can understand that?

  43. anonymous
    • one year ago
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    no

  44. anonymous
    • one year ago
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    ill do it with numbers \[2(3 + 4) = 2(3) + 2(4)\]

  45. anonymous
    • one year ago
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    this is distributive property

  46. anonymous
    • one year ago
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    I understand that that's distributive property but I still don't understand how to answer the question how does this go together with finding the product of two polynomials

  47. anonymous
    • one year ago
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    When multiplying two polynomials together, we use the distributive property to multiply every term of one polynomial is multiplied times every term of the other polynomial then simplify your answer by combining any like terms.

  48. anonymous
    • one year ago
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    sounds good?

  49. anonymous
    • one year ago
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    yes thank you I was having the same problem trying to understand how what you said went together with the second question

  50. anonymous
    • one year ago
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    ikr i have no problem doing questions but explaining is hella hard

  51. anonymous
    • one year ago
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    could you just tell me the second question then so I can get this over with please

  52. anonymous
    • one year ago
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    im finding sites to copy paste from lel

  53. anonymous
    • one year ago
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    Exponents represent repeated multiplication, \[a \times a =a^2\]\[a^2 \times a^3 = (aa)(aaa) = a^{2+3} = a^5\]

  54. anonymous
    • one year ago
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    you understand everything so far?

  55. anonymous
    • one year ago
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    yes

  56. anonymous
    • one year ago
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    i don't find any good paragraphs to copy paste so far, so you might need to demonstrate the properties

  57. anonymous
    • one year ago
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    I don't think I will be aloud to do that you don't know the answer?

  58. anonymous
    • one year ago
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    i don't know how to describe it

  59. anonymous
    • one year ago
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    When monomials include both a number and a variable, the number is called the coefficient. For example, in the monomial 8x2, 8 is the coefficient. The variables in a monomial can have whole number exponents, but no negative exponents. Just as numbers can be multiplied and divided, monomials with variables can also be multiplied and divided following the same rules.

  60. anonymous
    • one year ago
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    this might be the best i found so far

  61. anonymous
    • one year ago
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    thanks

  62. anonymous
    • one year ago
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    yw

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