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anonymous

  • one year ago

Which polynomial has 3x + 4 as a factor? 12x^2 – 2x – 20 9x^2 – 3x – 8 12x^2 + 7x – 8 9x^2 + 3x – 12

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  1. anonymous
    • one year ago
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    @ParthKohli @pooja195

  2. anonymous
    • one year ago
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    can you tell me what a factor is and how it works?

  3. anonymous
    • one year ago
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    a number or quantity that when multiplied with another produces a given number or expression.

  4. anonymous
    • one year ago
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    Then we need to look at each answer to see if these contain the desired factors. Start with A and see what you can factor out. Is it what we are looking for? If yes, then this is your answer, if no go to the net one and do it again.

  5. anonymous
    • one year ago
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    20?

  6. anonymous
    • one year ago
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    Perhaps this isn't factoring out something, but what are the factors of the problem. When you FOIL the factors you would get the problem you now see.

  7. anonymous
    • one year ago
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    What time what makes twelve, what times what makes twenty, when added them together do they produce the middle term?

  8. anonymous
    • one year ago
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    2 times 6 makes 12

  9. anonymous
    • one year ago
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    Good Job, so the first part of what you should be writing down is (2 )(6 )

  10. anonymous
    • one year ago
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    Since you have an x^2 next to the 12 what do we need to multiply that gives us x^2?

  11. anonymous
    • one year ago
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    12

  12. anonymous
    • one year ago
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    does 12 = x^2?

  13. anonymous
    • one year ago
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    2*6=12 ?*?=x^2

  14. anonymous
    • one year ago
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    a*a=a^2 b*b=b^2 ?*?=x^2

  15. anonymous
    • one year ago
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    im not sure

  16. anonymous
    • one year ago
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    look at the example I just gave. What did I multiply to get a^2?

  17. anonymous
    • one year ago
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    6

  18. anonymous
    • one year ago
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    a*a=a^2 what is being multiplied here?

  19. anonymous
    • one year ago
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    6

  20. anonymous
    • one year ago
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    There is no 6 in the equation

  21. anonymous
    • one year ago
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    There are two letters being multiplied together. What are the letters?

  22. anonymous
    • one year ago
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    a

  23. anonymous
    • one year ago
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    yes, so if a * a = a^2 what letters do we need to get x^2?

  24. anonymous
    • one year ago
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    x

  25. anonymous
    • one year ago
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    Yes, so now show me where the x's go in what you are writing down

  26. anonymous
    • one year ago
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    are you there?

  27. anonymous
    • one year ago
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    yeah

  28. anonymous
    • one year ago
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    where do the x's go (2 )(6 )

  29. anonymous
    • one year ago
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    Behind the 2 and 6

  30. anonymous
    • one year ago
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    yes, show me.

  31. anonymous
    • one year ago
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    (2x) (6x)

  32. anonymous
    • one year ago
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    ok but leave some space because we need to put more of the problem inside (2x )(6x ) 12x^2 – 2x – 20 so we have the 12x^2 now what factors make up -20?

  33. anonymous
    • one year ago
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    10 and -2

  34. anonymous
    • one year ago
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    ok. but let's take a look at what question we are being asked. Do any of the factors have 3x + 4 as a factor?

  35. anonymous
    • one year ago
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    no

  36. anonymous
    • one year ago
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    so let's look at 12x^2 again. instead of 2*6 is there anything else when multiplied that equals 12?

  37. anonymous
    • one year ago
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    1 and 12

  38. anonymous
    • one year ago
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    yes, 1 and 12 do = 12 but are they the factors we are looking for? are there any factors that we are looking for that =12?

  39. anonymous
    • one year ago
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    3 and 4

  40. anonymous
    • one year ago
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    Good job. so show me how you write that down with our x's

  41. anonymous
    • one year ago
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    im not really sure

  42. anonymous
    • one year ago
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    Well, we had (2x )(6x ) before, but we found out 2*6 are not part of our factors. Now, using our factors replace 2 and 6 with 3 and 4

  43. anonymous
    • one year ago
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    (3x) (4x)

  44. anonymous
    • one year ago
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    ok. Now we are still working on our -20. and 2 and -10 are not part of our factor that we are looking for. 3x + 4 which numbers contain one of our factors when multiplied give us -20?

  45. anonymous
    • one year ago
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    10

  46. anonymous
    • one year ago
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    Do you see that we have part of the correct answer (3x )(4x ) 3x + 4 Now we need to use the 4 to get -20. What could we multiply 4 by to give us -20?

  47. anonymous
    • one year ago
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    -5

  48. anonymous
    • one year ago
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    ok. So lets put them in (3x+4)(4x-5) now FOIL it out and tell me if it is = 12x^2 – 2x – 20

  49. anonymous
    • one year ago
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    i think so

  50. anonymous
    • one year ago
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    show me how you FOILed it out

  51. anonymous
    • one year ago
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    I mutiplied 3 and 4 and got 12x. Then I multiplied 4 and -5 and got -20

  52. anonymous
    • one year ago
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    What is FOIL? Isn't there more multiplication to be done?

  53. anonymous
    • one year ago
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    2x

  54. anonymous
    • one year ago
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    (3x+4)(4x-5)|dw:1443463356798:dw|

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