anonymous
  • anonymous
I need help with this problem. Can someone explain how to solve it? Solve. (-10x^3+30x-20)/(-5x+5)
Mathematics
chestercat
  • chestercat
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Nnesha
  • Nnesha
synthetic division or long division ? which one is easy for you ?
anonymous
  • anonymous
I don't exactly know what synthetic division is. I would probably say long division.
Nnesha
  • Nnesha
hmm synthetic division is easy alright then long division ? ready?

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anonymous
  • anonymous
Yes
Nnesha
  • Nnesha
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
Nnesha
  • Nnesha
first step divide first terms \[\huge\rm \frac{ -10x^3 }{ -5x } = ?\]
anonymous
  • anonymous
-2x^3?
Nnesha
  • Nnesha
negative divide by negative = positive
Nnesha
  • Nnesha
and x^3 is same as \[\huge\rm \frac{ x \times x \times x }{ x }\]
Nnesha
  • Nnesha
x can cancel ? right ?
Nnesha
  • Nnesha
and x^3 is same as \[\huge\rm \frac{ x \times x \times \cancel{ x} }{\cancel{ x} }\] so 2x^2
Nnesha
  • Nnesha
now distribute divisor by 2x^2 |dw:1432749473531:dw| 2x^2 (-5x+5) = ??

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