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animalsavior94 Group Title

find all the zeros of the function and write the function as a product of its linear factors. f(x)=3x^4 +2x^3 -28x^2 -14x+56

  • 3 years ago
  • 3 years ago

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  1. satellite73 Group Title
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    sure you typed it in right?

    • 3 years ago
  2. animalsavior94 Group Title
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    no lol its f(x)=3x^4 +2x^3-29x^2-14x+56

    • 3 years ago
  3. animalsavior94 Group Title
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    sorry

    • 3 years ago
  4. satellite73 Group Title
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    good then cheat http://www.wolframalpha.com/input/?i=+f%28x%29%3D3x^4+%2B2x^3-29x^2-14x%2B56

    • 3 years ago
  5. animalsavior94 Group Title
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    your supposed to do something else with it...i forgot whats it called but u gotta pull all the number out then find the zeros

    • 3 years ago
  6. satellite73 Group Title
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    zeros are -2, 4/3, and +/- root 7

    • 3 years ago
  7. satellite73 Group Title
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    factor. it is given to you in factored form. once you know -2 is a zero you factor as (x+2) something. you find the something by division

    • 3 years ago
  8. animalsavior94 Group Title
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    ohh its synthetic divison could do show it by that

    • 3 years ago
  9. satellite73 Group Title
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    i would hate to have to do this by hand.

    • 3 years ago
  10. satellite73 Group Title
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    yes synthetic division list the coefficients. 3 2 -28 -14 56

    • 3 years ago
  11. satellite73 Group Title
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    put a -2 on the side 3 2 -28 -14 56 -2 ______________________________________

    • 3 years ago
  12. animalsavior94 Group Title
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    no its 3 2 -29 -14 56

    • 3 years ago
  13. animalsavior94 Group Title
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    where did u get the -2 from the side from?

    • 3 years ago
  14. satellite73 Group Title
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    bring down the three 3 2 -29 -14 56 -2 ______________________________________ 3

    • 3 years ago
  15. animalsavior94 Group Title
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    no wait wheredid u get the -2 from

    • 3 years ago
  16. satellite73 Group Title
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    3*-2=-6 3 2 -29 -14 56 -2 -6 ______________________________________ 3

    • 3 years ago
  17. satellite73 Group Title
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    i got the -2 because i know -2 is a zero. you have to know that to begin with!

    • 3 years ago
  18. satellite73 Group Title
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    2 + -6 = -4 3 2 -29 -14 56 -2 -6 ______________________________________ 3 -4

    • 3 years ago
  19. animalsavior94 Group Title
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    wait ok this is what i did i got all the numbers i know what to do i just dont know where u got the -2 from

    • 3 years ago
  20. satellite73 Group Title
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    -4*-2=8 3 2 -29 -14 56 -2 -6 8 ______________________________________ 3 -4

    • 3 years ago
  21. satellite73 Group Title
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    in order to divide i must first know a zero of this function. if i do not i cannot divide. i am dividing by x + 2

    • 3 years ago
  22. animalsavior94 Group Title
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    why?

    • 3 years ago
  23. satellite73 Group Title
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    -29 + 8 = -21 3 2 -29 -14 56 -2 -6 8 ______________________________________ 3 -4 -21

    • 3 years ago
  24. satellite73 Group Title
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    ok we know that f(-2)=0 so we know f factors as (x+2) q(x) we are trying to find q(x)

    • 3 years ago
  25. satellite73 Group Title
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    we find q(x) by dividing f(x) by x + 2 which is what this synthetic division is doing

    • 3 years ago
  26. satellite73 Group Title
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    if we do not know a zero we do not know what to divide by

    • 3 years ago
  27. satellite73 Group Title
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    i know it is a zero because i cheated and used wolfram alpha. if i had to do it by hand i don't know what i would do. maybe graph it on a calculator and surmise that it crosses the x axis at -2

    • 3 years ago
  28. satellite73 Group Title
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    the factored form of this beast is \[(x+2)(3x-4)(x^2 - 7)\]

    • 3 years ago
  29. satellite73 Group Title
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    i am just factoring out the x + 2 at the moment.

    • 3 years ago
  30. animalsavior94 Group Title
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    ohh i see

    • 3 years ago
  31. animalsavior94 Group Title
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    ohh i see

    • 3 years ago
  32. animalsavior94 Group Title
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    so what are the zeros if it ended with 3 -4 -21 28 0 ?

    • 3 years ago
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