Mathematics

Mathematics

Problem

For which one of the following rational functions can all unknown constants be obtained merely by substituting the zeros of its denominator after writing its partial–fraction form? a) 5x+7(x−1)(x2+4)\dfrac{5x+7}{(x-1)(x^2+4)} b) 4x−3(x+1)(x−2)2\dfrac{4x-3}{(x+1)(x-2)^2} c) 3x+2(x−2)(x+3)(x+5)\dfrac{3x+2}{(x-2)(x+3)(x+5)} d) x2+1x(x2+9)\dfrac{x^2+1}{x(x^2+9)}

Browse the problem library