A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

calculusxy

  • one year ago

Operations with Polynomials 4(a + 5) - 5(a^2 - 4a + 7)

  • This Question is Closed
  1. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\huge 4(a + 5) - 5(a^2 - 4a + 7)\]

  2. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Would the standard form be: \[\large 5a^2 + 24a - 5\]

  3. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @Nnesha

  4. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what was ur first step ??

  5. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I distributed 5 to a^2 , -4a , and 7 to get -5a^2, +20a, -35.

  6. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes right so -5a^2

  7. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh yes

  8. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and there is another typo check ur work

  9. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    when distribute 4(a+5) what did you get ?

  10. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    4a + 20

  11. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes right now combine like terms \[\huge\rm 4a+20-5a^2+20a-35\]

  12. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(\color{blue}{\text{Originally Posted by}}\) @calculusxy Would the standard form be: \[\large 5a^2 + 24a - 5\] \(\color{blue}{\text{End of Quote}}\) pretty sure it's a typo ;d

  13. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    (4a + 20a) --> 24a (20 - 35) --> -5 -5a^2 so now it would be: \[\large -5a^2 + 24a -5 \]

  14. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    20-35 isn't equal to -5

  15. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    -15 right?

  16. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes :=)

  17. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    good work!

  18. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Thank you! I juts have a small question.

  19. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    We know that when writing the standard form of a polynomial, you need to order it from the highest to the least degrees. Let's say we have -4p^3q^3 and pq^3, then what would go first?

  20. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you should add the exponents of both terms \[\huge\rm 4xy =4x^1y^1\] so highest degree of this term would be 2

  21. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I don't understand

  22. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\large -4p^3q^3 \] or \[\large -pq^3\]

  23. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    to write it in standard form you should go highest to lowest degree \[\large\rm 2x^3 +4x^4 +8x^2 ~~would ~be~ 4x^4+2x^3+8x^2\] right so when there are more than one variable highest degree would depends on the sum of both degrees so \[\large\rm -4p^3q^3 \] 3+3 =6 \[\large\rm -p^1q^3\] 1+3 =4 so which terms hve the higest degree ?

  24. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    highest *

  25. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    -4p^3q^3 which would have the highest degree of 6..

  26. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i'll give you an example \[\huge\rm \color{Red}{4xy^2} ,\color{blue}{ 5x^3y^4}\] \[\large\rm \color{ReD}{4xy^2}\] 1+2= 3 \[\large\color{blue}{5x^3y^4}\] 3+4 = 7 so blue term is with the the highest term so ur answer would be 5x^3y^4 ,4xy^2

  27. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes right!

  28. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    okay so if we don't see an exponent, then we just have to add that invisible 1 right?

  29. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes right x is same as x to the 1 power

  30. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok thank you so much!

  31. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    np :=)

  32. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i really appreciate your help :)

  33. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    thx o^_^o

  34. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.