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Ibbutibbu.

  • one year ago

Can someone help me with factoring? 4x^3 + 43x^2 + 30x

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  1. SolomonZelman
    • one year ago
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    first factor out of x, can you do that for me?

  2. Ibbutibbu.
    • one year ago
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    x ( 4x^2 + 43x + 30 ) ?

  3. SolomonZelman
    • one year ago
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    yes

  4. SolomonZelman
    • one year ago
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    now, lets focus on just the 4x²+43x+30

  5. SolomonZelman
    • one year ago
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    you know that if you choose (2x )(2x ) that is not going to give an odd coefficient 43 in a middle term, therefore you have to choose (4x )(x )

  6. SolomonZelman
    • one year ago
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    and you know that you have (4x + 1)(x + ) (2 pluses, because your trinomial is positive entirely)

  7. SolomonZelman
    • one year ago
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    now you have to choose two constant factors of 30 to fill it in.

  8. Ibbutibbu.
    • one year ago
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    The factors are 1, 2, 3, 5, 6, 10, 15, 30

  9. Ibbutibbu.
    • one year ago
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    I think

  10. SolomonZelman
    • one year ago
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    yes, possible picks 1 & 30 2 & 15 3 & 10 5 & 6

  11. SolomonZelman
    • one year ago
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    4x²+43x+30 (4x + )(x + )

  12. Ibbutibbu.
    • one year ago
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    The rule it that a+b=43 and ab=30?

  13. SolomonZelman
    • one year ago
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    yes

  14. SolomonZelman
    • one year ago
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    beautiful

  15. Ibbutibbu.
    • one year ago
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    im not entirely sure

  16. SolomonZelman
    • one year ago
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    30×1=30, but 30 & 1 don't make the a+b=43

  17. SolomonZelman
    • one year ago
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    one note/addition

  18. SolomonZelman
    • one year ago
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    `(4)a+(1)b=43` and `ab=30`

  19. Ibbutibbu.
    • one year ago
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    the 10 +3

  20. SolomonZelman
    • one year ago
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    you multiply on of the numbers by 4 and the other by 1 (multiplying by coefficients of x, just as you would if you were to expand it)

  21. Ibbutibbu.
    • one year ago
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    bc 4(10) + 3 = 43

  22. SolomonZelman
    • one year ago
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    yes,

  23. SolomonZelman
    • one year ago
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    4x²+43x+30 (4x + )(x + ) fill it for me please...

  24. Ibbutibbu.
    • one year ago
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    (4x + 10)(x + 3) ?

  25. SolomonZelman
    • one year ago
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    wait, this would give a middle term of (10 • x) + (4x • 3) = 10x+12x=22x

  26. SolomonZelman
    • one year ago
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    the other way around

  27. Ibbutibbu.
    • one year ago
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    so (4x + 3)(x + 10) ?

  28. SolomonZelman
    • one year ago
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    yes

  29. SolomonZelman
    • one year ago
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    (4x•10)+(x•3)=40x+3x=43x

  30. SolomonZelman
    • one year ago
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    4x³ + 43x² + 30x x ( 4x² + 43x + 30 ) x (4x + 3)(x + 10)

  31. SolomonZelman
    • one year ago
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    ` x (4x + 3)(x + 10) ` is it.... you can't factor it more. DONE

  32. Ibbutibbu.
    • one year ago
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    thx so much

  33. SolomonZelman
    • one year ago
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    yw

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