Question: Match the rational functions (a)(d) with the corresponding partial fraction decompositions (i)(iv). (a) (b) (c) (d) (ii) x + 4x + 12 (x + 2)(x

Match the rational functions (a)–(d) with the corresponding partial fraction decompositions (i)–(iv).

(a) (b) (c) (d) (ii) x + 4x + 12 (x + 2)(x + 4) 2x + 8x + 24 (iii) (x + 2)(x + 4) x - 4x + 8 (i) x-2+ -8 (x -

(a) (b) (c) (d) (ii) x + 4x + 12 (x + 2)(x + 4) 2x + 8x + 24 (iii) (x + 2)(x + 4) x - 4x +8 (i) x-2+ -8 (x - 1)(x - 2) 4-4x+8 (x + 2)(x + 4) 2 1 x + 2 4 x + 2 4 + + - 4x - 4 x + 4 8 (x - 2) 2 (x + 2) + + + x-1 -x+ 2 x + 4 5 (x - 1) (iv) 1 x + 2 + 4 x + 4

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