Divide as indicated.
-$$\frac { x ^ { 2 } + 15 x + 54 } { x ^ { 2 } + 16 x + 63 } \div \frac { x ^ { 2 } + 6 x } { x ^ { 2 } + 17 x + 70 }$$
A) $\frac { x + 10 } { x }$
B) $\frac { x + 10 } { x ^ { 2 } + 7 x }$
C) $x + 10$
D) $\frac { x } { x ^ { 2 } + 16 x + 63 }$

Question

Quizplus · Accepted Answer

The division of fractions is equivalent to multiplying by the reciprocal. Simplify each polynomial and perform the division to get $\frac { x + 10 } { x }$.

Divide as Indicated x2+15x+54x2+16x+63÷x2+6xx2+17x+70\frac { x ^ { 2 } + 15 x + 54 } { x ^ { 2 } + 16 x + 63 } \div \frac { x ^ { 2 } + 6 x } { x ^ { 2 } + 17 x + 70 }x2+16x+63x2+15x+54​÷x2+17x+70x2+6x​

Divide as Indicated $\frac { x ^ { 2 } + 15 x + 54 } { x ^ { 2 } + 16 x + 63 } \div \frac { x ^ { 2 } + 6 x } { x ^ { 2 } + 17 x + 70 }$