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mscrosscountry

  • 4 years ago

Select one of the factors of 3x2 + 10x + 3

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  1. mscrosscountry
    • 4 years ago
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    thats not one of my options though. (3x + 1) (3x + 3) (3x – 1) None of the above

  2. myininaya
    • 4 years ago
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    \[3x^2+9x+x+3\] I just found two factors of 3(3) that added up to be 10 Factor this by grouping

  3. myininaya
    • 4 years ago
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    What factors does 3x^2 and 9x have in common?

  4. mscrosscountry
    • 4 years ago
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    the factors they have in common is 3

  5. myininaya
    • 4 years ago
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    and x right?

  6. myininaya
    • 4 years ago
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    \[3x(x+3)+1(x+3)\] Now we have two terms. What do these two terms have in common?

  7. mscrosscountry
    • 4 years ago
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    so the answer is none of the above because its not one of my options

  8. myininaya
    • 4 years ago
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    we aren't done

  9. myininaya
    • 4 years ago
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    I was just asking you what 3x^2 and 9x had in common so that we can factor this beast

  10. mscrosscountry
    • 4 years ago
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    both have 3x in common?

  11. myininaya
    • 4 years ago
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    right so from the first two terms i factored out 3x giving me \[3x(x+3)+x+3\]

  12. myininaya
    • 4 years ago
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    But we can write this as \[3x(x+3)+1(x+3)\] since 1(x+3) is still x+3

  13. myininaya
    • 4 years ago
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    now what factors does 3x(x+3) and 1(x+3) have in common besides the factor 1?

  14. mscrosscountry
    • 4 years ago
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    3x again?

  15. myininaya
    • 4 years ago
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    no they both have the factor (x+3) in common

  16. myininaya
    • 4 years ago
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    \[(x+3)(3x+1)\]

  17. mscrosscountry
    • 4 years ago
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    so the answer is (3x + 1)

  18. myininaya
    • 4 years ago
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    x+3 and 3x+1 are both factors of the polynomial given

  19. Sdowney
    • 2 years ago
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    x+3 & 3x+1 are the factors

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