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anonymous

  • one year ago

Factor: x2 + 11x + 10 a: (x + 10)(x +1) b: (x + 11)(x + 10) c: (x + 2)(x + 5) d: prime

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  1. UsukiDoll
    • one year ago
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    To factor \[x^2+11x+10 \] we have to focus on the middle term and the last term so our last term is 10, and we have to list all possibilities of multiplication of 10 so our choices would be 1 x 10 = 10 2 x 5 = 10 then based on the middle term we use addition and only one pair of numbers work

  2. anonymous
    • one year ago
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    ok

  3. UsukiDoll
    • one year ago
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    so what's 1+10? what's 2+5 ?

  4. anonymous
    • one year ago
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    11 and 7

  5. anonymous
    • one year ago
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    prime?

  6. UsukiDoll
    • one year ago
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    ah! We found our 11 because 10+1 = 11 10 x 1 = 10 so since we have found or numbers we can factor

  7. anonymous
    • one year ago
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    ok

  8. UsukiDoll
    • one year ago
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    since your quadratic equation is all positive signs, we don't have to worry about sign combinations

  9. UsukiDoll
    • one year ago
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    so we have (x+ ?)(x + ? ) fill in those ? using the information I've typed earlier

  10. anonymous
    • one year ago
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    x+11

  11. UsukiDoll
    • one year ago
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    close xD "We found our 11 because 10+1 = 11"

  12. anonymous
    • one year ago
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    x+10?

  13. UsukiDoll
    • one year ago
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    no.. remember those 2 digital 10 and 1 that produced 11? write those down (x+?)(x+?)

  14. UsukiDoll
    • one year ago
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    wut did I just type .. it's 2 numbers 10 and 1 =_=

  15. anonymous
    • one year ago
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    5+2

  16. UsukiDoll
    • one year ago
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    no now we're going backwards 5+2 is 7 and it doesn't match the middle term which is 11 so we throw that combination out

  17. anonymous
    • one year ago
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    then i don't know

  18. UsukiDoll
    • one year ago
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    :/ we found our combination 10 x 1 = 10 which matches the last term 10 + 1 = 11 matches the middle term what numbers did I just use to make 10 and 11 ?

  19. anonymous
    • one year ago
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    1

  20. UsukiDoll
    • one year ago
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    yeah that was one of the numbers. (x+1)(x+?) what was the other number?

  21. anonymous
    • one year ago
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    was it 2?

  22. UsukiDoll
    • one year ago
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    no

  23. anonymous
    • one year ago
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    and 10

  24. UsukiDoll
    • one year ago
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    yes! (x+1)(x+10)

  25. anonymous
    • one year ago
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    thanks

  26. UsukiDoll
    • one year ago
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    and you can check by using the FOIL method (x+1)(x+10) = x^2+10x+x+10 =x^2+11x+10

  27. anonymous
    • one year ago
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    so is that the final answer?

  28. UsukiDoll
    • one year ago
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    yeah

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