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anonymous

  • one year ago

I need help with this problem. Can someone explain how to solve it? Solve. (-10x^3+30x-20)/(-5x+5)

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  1. Nnesha
    • one year ago
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    synthetic division or long division ? which one is easy for you ?

  2. anonymous
    • one year ago
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    I don't exactly know what synthetic division is. I would probably say long division.

  3. Nnesha
    • one year ago
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    hmm synthetic division is easy alright then long division ? ready?

  4. anonymous
    • one year ago
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    Yes

  5. Nnesha
    • one year ago
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    alright then for long division 5 steps) \(\huge\color{green}{{1:}}\) Divide the first terms \(\huge\color{green}{{2:}}\) multiply(distribute) \(\huge\color{green}{{3:}}\) subtract all terms \(\huge\color{green}{{4:}}\) carry down \(\huge\color{green}{{5:}}\) repeat |dw:1432748779555:dw| there isn't any x^2 term but we still have to write it

  6. Nnesha
    • one year ago
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    first step divide first terms \[\huge\rm \frac{ -10x^3 }{ -5x } = ?\]

  7. anonymous
    • one year ago
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    -2x^3?

  8. Nnesha
    • one year ago
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    negative divide by negative = positive

  9. Nnesha
    • one year ago
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    and x^3 is same as \[\huge\rm \frac{ x \times x \times x }{ x }\]

  10. Nnesha
    • one year ago
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    x can cancel ? right ?

  11. Nnesha
    • one year ago
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    and x^3 is same as \[\huge\rm \frac{ x \times x \times \cancel{ x} }{\cancel{ x} }\] so 2x^2

  12. Nnesha
    • one year ago
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    now distribute divisor by 2x^2 |dw:1432749473531:dw| 2x^2 (-5x+5) = ??

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