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Stitz-Zeager_College_Algebra_e-book

# 13 was neither geometric nor arithmetic it did

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Unformatted text preview: nly the form needed to begin the process of partial fraction decomposition. Do not create the system of linear equations or attempt to ﬁnd the actual decomposition. 7 (x − 3)(x + 5) 5x + 4 (b) x(x − 2)(2 − x) m (c) (7x − 6)(x2 + 9) (a) ax2 + bx + c x3 (5x + 9)(3x2 + 7x + 9) A polynomial of degree < 9 (e) (x + 4)5 (x2 + 1)2 A polynomial of degree < 7 (f) x(4x − 1)2 (x2 + 5)(9x2 + 16) (d) 2. Find the partial fraction decomposition of the following rational expressions. (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l) 2x −1 −7x + 43 3x2 + 19x − 14 11x2 − 5x − 10 5x3 − 5x2 −2x2 + 20x − 68 x3 + 4x2 + 4x + 16 −x2 + 15 4x4 + 40x2 + 36 −21x2 + x − 16 3x3 + 4 x2 − 3x + 2 5x4 − 34x3 + 70x2 − 33x − 19 (x − 3)2 x2 x6 + 5x5 + 16x4 + 80x3 − 2x2 + 6x − 43 x3 + 5x2 + 16x + 80 −7x2 − 76x − 208 x3 + 18x2 + 108x + 216 −10x4 + x3 − 19x2 + x − 10 x5 + 2 x3 + x 4x3 − 9x2 + 12x + 12 x4 − 4x3 + 8x2 − 16x + 16 2x2 + 3x + 14 (x2 + 2x + 9)(x2 + x + 5) 8.6 Partial Fraction Decomposition...
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