Write the partial fraction decomposition of the rational expression.
-$$\frac { 2 x - 5 } { x ^ { 2 } - 5 x - 6 }$$
A) $\frac { 1 } { x - 6 } + \frac { 1 } { x + 1 }$
B) $\frac { 1 } { x - 3 } + \frac { 1 } { x - 2 }$
C) $\frac { 17 } { x + 6 } - \frac { 3 } { x - 1 }$
D) $\frac { 9 } { x + 2 } + \frac { 1 } { x - 3 }$

Question

Quizplus · Accepted Answer

The denominator $x^2 - 5x - 6$ factors into $(x-6)(x+1)$, so the partial fraction decomposition involves denominators $x-6$ and $x+1$, which matches option A.

Write the Partial Fraction Decomposition of the Rational Expression 2x−5x2−5x−6\frac { 2 x - 5 } { x ^ { 2 } - 5 x - 6 }x2−5x−62x−5​

Write the Partial Fraction Decomposition of the Rational Expression $\frac { 2 x - 5 } { x ^ { 2 } - 5 x - 6 }$