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anonymous

  • one year ago

x^2-5x-24 factor into two binomonials

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  1. anonymous
    • one year ago
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    @undeadknight26

  2. anonymous
    • one year ago
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    @Zedditup

  3. anonymous
    • one year ago
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    In order to do this you want to get two factors of -24 that will equal to -5. What two factors of -24 equal -5?

  4. anonymous
    • one year ago
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    hmm its 1 because they have no other common factor :/

  5. anonymous
    • one year ago
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    For example factors of 6 are 3 and 2, 1 and 6, -3 and 2, and -1 and 6

  6. anonymous
    • one year ago
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    When they are multiplied they equal 6.

  7. anonymous
    • one year ago
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    Step 1: Find multiples for -24. Step 2: (After getting a few), add together these numbers and see which one gets you -5 Step 3: Use those two numbers that get -5 that multiply to -24 Your numbers should be -8 and 3. Step 4: Apply these to your x. (x-8) (x+3) ---> also roots If you wanted to find the zeroes as well, you would make them both equal to zero. For example, (x-8) would be x-8=0. Do simple math, and your zero is 8. For now, though, refer to roots. ((I believe I did this right, but the question could be asking something different. We never referred to them as separate binomials in Alg 2, unless what the question is asking is different than what I'm thinking))

  8. anonymous
    • one year ago
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    ik but 24 and 5 only have -1 in common

  9. anonymous
    • one year ago
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    So 6 and 4 multiplied equal 24 right?

  10. anonymous
    • one year ago
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    Yes they do

  11. anonymous
    • one year ago
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    Okay added up what do they equal?

  12. anonymous
    • one year ago
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    6 and 4?

  13. anonymous
    • one year ago
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    10

  14. anonymous
    • one year ago
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    Good that doesn't equal -5. But what about 8 and 3? That would equal 11, however what if we did -8 and 3? Try adding -8 and 3 what do you get?

  15. anonymous
    • one year ago
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    ok its negative 5 so -5

  16. anonymous
    • one year ago
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    yes so now you take those factors and make it into a binomial. So (x-8)(x+3). Now check your work. And multiply the binomials

  17. anonymous
    • one year ago
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    What do you get when you multiply (x-8) and (x+3)?

  18. anonymous
    • one year ago
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    (x-5)?

  19. anonymous
    • one year ago
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    No. what is x*x? or x^(1+1)?

  20. anonymous
    • one year ago
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    Oh yeah X is always 1

  21. anonymous
    • one year ago
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    What???? No x multiplied by x is x^2

  22. anonymous
    • one year ago
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    Oh ok.....

  23. anonymous
    • one year ago
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    Now what is 3 times x?

  24. anonymous
    • one year ago
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    @DarkMoonZ

  25. anonymous
    • one year ago
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    its 3x

  26. anonymous
    • one year ago
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    Good job. Now what is -8 times x?

  27. anonymous
    • one year ago
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    -8x

  28. anonymous
    • one year ago
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    Good job. Finally, what is -8 times 3?

  29. anonymous
    • one year ago
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    -24

  30. anonymous
    • one year ago
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    Good so now that we have FOILed we will add the answers up so x^2 + 3x - 8x -24 Combine like terms. 3x - 8x is -5x x^2 - 5x -24 Does that look like the original problem?

  31. anonymous
    • one year ago
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    Yes a little bit

  32. anonymous
    • one year ago
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    A lot of bit because that is what is asking you to factor so we said the answer before and checked it so what is your factored binomial we checked?

  33. anonymous
    • one year ago
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    x^2 + 3x - 8x -24

  34. anonymous
    • one year ago
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    No that is not the binomial. That is what the binomial equals, come on we just said it (x-8)(x+3). So your final answer is (x-8)(x+3). The reason we checked it to see if it was like the question is to ensure accuracy. Hope this helped!

  35. anonymous
    • one year ago
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    Oh ok thanks you very much

  36. anonymous
    • one year ago
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    No problem have a great day!

  37. anonymous
    • one year ago
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    If you need anymore help just tag me.

  38. anonymous
    • one year ago
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    ok :P

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