My ideals are being ruined in partial fractions pls help.
Particularly the one with the quadratic equation as denominator.
Ex: (7+x) / (x^2 + x + 1)
from what I currently know is that its partial fraction would be at the beginning would look like this:
[(A)(2x+1)+B] / (x^2 + x + 1)
2x +1 coming from the derivative of the quadratic.
But later in our quiz in ECEMath my solution was questioned and professor said it should only be
[(A)(x)+B] / (x^2 + x +1)
x only...
please help me

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\[\frac{7+x}{x^2+x+1}\]

@ganeshie8

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