Question

1. Partial fractions Express the following as partial fractions (a) (x^2 + 1) / (x - 1) (b) (7x + 10) / (2x^2 + 5x + 3) (c) (10x + 18) / (4x^2 + 12x + 9) (d) (3x + 1) / ((x^2 + x + 10)(x - 1))

          1. Partial fractions
Express the following as partial fractions
(a)
(x^2 + 1) / (x - 1)
(b)
(7x + 10) / (2x^2 + 5x + 3)
(c)
(10x + 18) / (4x^2 + 12x + 9)
(d)
(3x + 1) / ((x^2 + x + 10)(x - 1))

$1. Partial fractions Express the following as partial fractions (a) (x^2 + 1) / (x - 1) (b) (7x + 10) / (2x^2 + 5x + 3) (c) (10x + 18) / (4x^2 + 12x + 9) (d) (3x + 1) / ((x^2 + x + 10)(x - 1))$

Added by Marcos C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Mukesh Devi

Step 1

Dividing $x^2 + 1$ by $x - 1$, we get: $$ \begin{array}{c|cc cc} \multicolumn{2}{r}{x} & +1 \\ \cline{2-5} x-1 & x^2& & &+1 \\ \cline{2-3} \multicolumn{2}{r}{0} & x& &-1 \\ \cline{3-5} \multicolumn{2}{r}{} & & &+2 \\ \end{array} $$ So, $\frac{x^2 + 1}{x - 1} = Show more…

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1. Partial fractions Express the following as partial fractions (a) x^2 + 1 / x - 1 (b) 7x + 10 / 2x^2 + 5x + 3 (c) 10x + 18 / 4x^2 + 12x + 9 (d) 3x + 1 / (x^2 + x + 10)(x - 1)