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How do you divide #(x^4+2x^3+ 5 x^2+5x-2)/(x+2) #?

Answer 1

Genesis Allen

#x^3 + 5x - 5, R8#

polynomial long division

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Answer 2

Julia Adams

To divide (x^4+2x^3+5x^2+5x-2) by (x+2), you can use long division or synthetic division. Here is the solution using long division:

     x^3 - 2x^2 + 9x - 13

x + 2 | x^4 + 2x^3 + 5x^2 + 5x - 2 - (x^4 + 2x^3) _______________ - 3x^3 + 5x^2 + ( -3x^3 - 6x^2 ) __________________ 11x^2 + 5x - (11x^2 + 22x) _______________ -17x - 2 + (-17x - 34) _______________ 32

Therefore, the quotient is x^3 - 2x^2 + 9x - 13 and the remainder is 32.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.