Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients.

Question

x^4/((x^2-x+1)(x^2+7)^2)

Answer 1

x⁴/[(x²- x +1)(x² + 7)²] = (ax + b)/(x² - x + 1) + (cx + d)/(x² + 7)² + (ex + f)/(x² + 7)