Expand the quotient by partial fractions.
-$$\frac { x ^ { 2 } - 4 x + 28 } { x ^ { 2 } - 10 x + 24 }$$
A) $1 + \frac { 20 } { x - 6 } + \frac { 14 } { x - 4 }$
B) $1 + \frac { 20 } { x - 6 } + \frac { - 14 } { x - 4 }$
C) $\frac { x + 20 } { x - 6 } + \frac { - x - 14 } { x - 4 }$
D) $\frac { 20 } { x - 6 } + \frac { - 14 } { x - 4 }$

Question

Quizplus · Accepted Answer

The denominator factors as $(x-6)(x-4)$. The partial fraction decomposition of the given expression is $1 + \frac{20}{x-6} + \frac{-14}{x-4}$.

Expand the Quotient by Partial Fractions x2−4x+28x2−10x+24\frac { x ^ { 2 } - 4 x + 28 } { x ^ { 2 } - 10 x + 24 }x2−10x+24x2−4x+28​

Expand the Quotient by Partial Fractions $\frac { x ^ { 2 } - 4 x + 28 } { x ^ { 2 } - 10 x + 24 }$