Home > PC3 > Chapter 10 > Lesson 10.2.3 > Problem10-148

10-148.

Rewrite the following rational expression as a sum of two fractions with linear denominators by using partial fraction decomposition.

$\frac { 16 x + 17 } { 2 x ^ { 2 } + 3 x - 2 }$

Factor the denominator then write a sum of fractions using each of the factors as denominators and variables a numerators.

$\frac{16x+17}{(x+2)(2x-1)}=\frac{A}{x+2}+\frac{B}{2x-1}$