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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

synthetic division or long division ? which one is easy for you ?

2. anonymous

I don't exactly know what synthetic division is. I would probably say long division.

3. Nnesha

hmm synthetic division is easy alright then long division ? ready?

4. anonymous

Yes

5. 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

6. Nnesha

first step divide first terms $\huge\rm \frac{ -10x^3 }{ -5x } = ?$

7. anonymous

-2x^3?

8. Nnesha

negative divide by negative = positive

9. Nnesha

and x^3 is same as $\huge\rm \frac{ x \times x \times x }{ x }$

10. Nnesha

x can cancel ? right ?

11. Nnesha

and x^3 is same as $\huge\rm \frac{ x \times x \times \cancel{ x} }{\cancel{ x} }$ so 2x^2

12. Nnesha

now distribute divisor by 2x^2 |dw:1432749473531:dw| 2x^2 (-5x+5) = ??

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