A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Solve. (-18x^3+17x+6)/(3x+2) Please help! If you can, leave an explanation for the answer! Thanks!

  • This Question is Closed
  1. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    long division 5 steps) \(\huge\color{green}{{1:}}\) Divide the first terms \(\huge\color{green}{{2:}}\) multiply(distribute) \(\huge\color{green}{{3:}}\) subtract all terms \(\huge\color{green}{{4:}}\) carry down \(\huge\color{green}{{5:}}\) repeat |dw:1433974939206:dw|there isn't x^2 term in the question but we have to write it in order 3 2 1 0 like this

  2. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I believe the problem is "simplify" instead of "solve"

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

    divide first terms \[\rm \frac{ -18x^3 }{ 3x } = ??\]

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    =-6x^3? @Nnesha

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

    x^3 can be written as x times x times x so \[\rm \frac{ x \times x \times x }{ x } = ??\]

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x^3? @Nnesha

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

    nope you can cancel one x right ?

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

    \[\rm \frac{ x \times x \times \cancel x }{ \cancel x } = ??\]

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok! So x^2? @Nnesha

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

    yes right!

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

    now 2nd step |dw:1433975352357:dw| distribute divisor by -6x^2 so -6x^2 (3x+2)

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So -18x^2 +4? @Nnesha

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

    nope when you multiply same bases you should add their exponents

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I understand. So 18x^3+4 @Nnesha

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

    distribute meaning multiply everything which is inside the parentheses by outside term so -6x^2 (3x+2) -6x^2 times 3x = ?? -6x^2 times 2 =?

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

    yes x^3 is right but there is a little mistake :-)

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So 18x^3 and 12x^2? @Nnesha

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

    you forgot negative sign

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh yeah! So -18x^3 and -12x^2? @Nnesha

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

    there you go!

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

    |dw:1433975913009:dw| step 3 change sign and then combine like terms :-)

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So 12x^2+17x+6? @Nnesha

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

    yes right! now repeat!

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

    |dw:1433976142678:dw| divide first terms 12x^2/3x

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok so 4x? @Nnesha

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

    yep!

  27. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    And the next step is to divide 6 by 2? So would the answer be -6x^2+4x+3? @Nnesha

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

    6 by 2 ??

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

    4x right now 2nd step distribute!

  30. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Sorry, I'm confused with what to do next. @Nnesha

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

    1st step is divide you did that now 2nd step distribute 4x by divisor

  32. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok so do I divide 17x by 4x now? @Nnesha

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

    alright nope you don't have to divide by quotient |dw:1433976642990:dw| divide first terms remember 3x stay same

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

    you got 4x now distribute divisor by 4x 4x(3x+2) = ?

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

    |dw:1433976698488:dw|

  36. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So 12x+8x? @Nnesha

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

    remember when you multiply same bases you should add their exponents so 4x times 3x = ?

  38. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    12x^2 @Nnesha

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

    yep right :-)

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

    |dw:1433976885337:dw| try!

  41. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok so -6x^2+4x+3? @Nnesha

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

    is that the quotient ?

  43. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I think so @Nnesha

  44. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Is that the correct answer? @Nnesha

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

    is that a guess ?

  46. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    No, because I distributed 4x and I got 12x^2+8x+6 (I just left the 6 by itself) and then I divided that by 2 to simplify the answer. :) @Nnesha

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

    alright |dw:1433977488813:dw| yes that's right 9x/3x = 3

  48. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok is that all I had to do for that question? @Nnesha

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

    that's just quotient what is the remainder answer should be like this \[\large\rm qoutient + \frac{ remainder }{ divisor }\]

  50. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh. I'm not sure what the remainder/divisor would be. @Nnesha

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

    |dw:1433977783733:dw| remainder that u get at the end after distributing 3 by divisor what did you get ?

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

    |dw:1433977855878:dw| change sign at the end and then combine like terms what did yo uget

  53. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I think I got 3? @Nnesha

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

    nope that's the quotient |dw:1433977995683:dw|