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mitu12

  • one year ago

Factor the following polynomials correctly q^2-9q+18

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  1. TrojanPoem
    • one year ago
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    (q - 6)(q-3)

  2. sweetburger
    • one year ago
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    what 2 values multiply to equal 18 and add to equal -9... alright nm

  3. mitu12
    • one year ago
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    could you explain how to do this

  4. anonymous
    • one year ago
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    Your first two automatics are the q's

  5. anonymous
    • one year ago
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    so we have (q+-?)(q+-?)

  6. mitu12
    • one year ago
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    ok

  7. TrojanPoem
    • one year ago
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    @sweetburger , that's how I do it. You could complete the square.

  8. anonymous
    • one year ago
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    Next thing you have to do is find what multiplies to =18

  9. anonymous
    • one year ago
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    so what are some factors of 18

  10. mitu12
    • one year ago
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    -6 and -3

  11. sweetburger
    • one year ago
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    something interesting to note when the notation is like this ax^2-bx+c the final form will look like this (q+-?)(q+-?). if the form looks like ax^2-bx-c then the notation will look like this (q+-?)(q+?). And finally if it looks like this ax^2+bx+c the notation will look like this (q+?)(q+?).

  12. anonymous
    • one year ago
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    correct and then once you get your factors plug them in for the ?'s and test and see if they work. To test it you simply multiply the sets in the parenthesis by each other.

  13. sweetburger
    • one year ago
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    @TrojanPoem I do actually know how to do these kind of problems so you dont have to tell me...

  14. TrojanPoem
    • one year ago
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    @manutdd30 , Well, now he knows them. But how about this ? i.e: 2x^2 - 18 x + 40 @mitu12

  15. TrojanPoem
    • one year ago
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    @sweetburger , I was telling you I do it the same. BUt complete the square is for mitu12

  16. TrojanPoem
    • one year ago
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    Work up. your brian.

  17. sweetburger
    • one year ago
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    The question in your example you just apply the quadratic or use the rational root theorem and then use the remainder theorem

  18. TrojanPoem
    • one year ago
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    -,- , Not for you @sweetburger , it's for @mitu12.

  19. anonymous
    • one year ago
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    Trying to factor by splitting the middle term 2.1 Factoring q^2-9q+18 The first term is, q^2 its coefficient is 1 . The middle term is, -9q its coefficient is -9 . The last term, "the constant", is +18 Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18 Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is -9 . -18 + -1 = -19 -9 + -2 = -11 -6 + -3 = -9 That's it

  20. anonymous
    • one year ago
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    ^ What do you think you should do next?

  21. mitu12
    • one year ago
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    the two factors are -6 and -3

  22. anonymous
    • one year ago
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    Yes… then what?

  23. mitu12
    • one year ago
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    then i think you plug them into the parenthesis

  24. anonymous
    • one year ago
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    lol no… Please don't give out direct answers :) @TrojanPoem Instead, try engaging the asker so they can learn better and understand where your answer is coming from. As the saying goes… \(\\\color{darkblue}{Give~a~man~a~fish,~he~eats~for~a~day.}\) \(\\\color{pink}{Teach~a~man~to~fish,~he~eats~for~a~lifetime.}\)

  25. anonymous
    • one year ago
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    Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and -3 q^2 - 6q - 3q - 18

  26. sweetburger
    • one year ago
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    Technically there are 3 more factors that should be included which are 18,1 2,9 and 3,6 due to the c value being positive.

  27. sweetburger
    • one year ago
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    I know you were limiting them for clarification but just putting that out there.

  28. anonymous
    • one year ago
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    Thanks :)

  29. sweetburger
    • one year ago
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    Nice job @Aureyliant :).

  30. anonymous
    • one year ago
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    @mitu12 What do you believe you should do for step 4? Recall factoring by grouping.

  31. mitu12
    • one year ago
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    yes and you will get q(q-6)-3(q-6)

  32. anonymous
    • one year ago
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    q2 - 6q - 3q - 18 Step-4 : Add up the first 2 terms, pulling out like factors : q • (q-6) Add up the last 2 terms, pulling out common factors : 3 • (q-6) Step-5 : Add up the four terms of step 4 : (q-3) • (q-6)

  33. mitu12
    • one year ago
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    then you will get (q-3)(q-6)

  34. anonymous
    • one year ago
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    Yes.. good job.

  35. mitu12
    • one year ago
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    thank you

  36. mitu12
    • one year ago
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    same method i use just forgot

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