For which one of the following rational functions can all unknown constants be…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

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)}

Related theory

Browse the problem library