Divide 18x^4+9x^3+3x^2/3x^2+1 using polynomial long division.

Answer 1

6x^2 + 3x -1

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3x^2 + 0x + 1 | 18x^4 + 9x^3 + 3x^2

18x^4 + 0x^3 + 6x^2

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9x^3 - 3x^2

9x^3 + 0x^2 + 3x

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-3x^2 - 3x

-3x^2 -0x -1

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-3x+1

check:

(6x^2+3x-1)(3x^2+1) = 18x^4 + 9x^3 - 3x^2 + 6x^2 + 3x - 1 =

18x^4 + 9x^3 + 3x^2 + 3x - 1

adding the remainder cancels 3x-1 giving the original dividend