SOLUTION: In problems 4-6, divide the polynomials using long division. Then verify your solution by using synthetic division. Show your work. 4. (x^3 + 3x^2 - x - 3) ÷ (x - 1) 5. (-2x

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Question 1206055: In problems 4-6, divide the polynomials using long division. Then verify your solution by using synthetic division. Show your work.
4. (x^3 + 3x^2 - x - 3) ÷ (x - 1)
5. (-2x^3 + 5x^2 - x + 2) ÷ (x + 2)
6. (x^4 - 6x^2 - 27) ÷ (x + 2)

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Here's a setup for #6 as an example, just because coefficient on x^3 and x^1 are both 0.

I will do the first two terms only; and you can think about all the rest...
          x^3    -2x^2
      _____________________________________________
x+2   |   x^4   +0x^3   -6x^2    + 0x   - 27
      |
      |   x^4   2x^3
       --------------
          0    -2x^3   -6x^2
               -2x^3   -4x^2
             ---------------
                 0     -2x^2

You continue the process and finish.
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