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

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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.

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