Rewrite the rational expression as an equivalent rational expression with the given denominator.
-$\frac { x + 14 } { 9 x ^ { 2 } + 67 x + 28 } = \frac { } { x ( 9 x + 4 ) ( x + 10 ) ( x + 7 ) }$
A) $\frac { x ( x + 14 ) } { x ( 9 x + 4 ) ( x + 10 ) ( x + 7 ) }$

B) $\frac { x ( x + 14 ) ( x + 10 ) } { x ( 9 x + 4 ) ( x + 10 ) ( x + 7 ) }$

C) $\frac { x ( x + 14 ) ( 9 x + 4 ) ( x + 7 ) ( x + 10 ) } { x ( 9 x + 4 ) ( x + 10 ) ( x + 7 ) }$

D) $\frac { ( x + 14 ) ( x + 10 ) } { x ( 9 x + 4 ) ( x + 10 ) ( x + 7 ) }$

Question

Rewrite the rational expression as an equivalent rational expression with the given denominator.
-$\frac { x + 14 } { 9 x ^ { 2 } + 67 x + 28 } = \frac { } { x ( 9 x + 4 ) ( x + 10 ) ( x + 7 ) }$
A) $\frac { x ( x + 14 ) } { x ( 9 x + 4 ) ( x + 10 ) ( x + 7 ) }$

B) $\frac { x ( x + 14 ) ( x + 10 ) } { x ( 9 x + 4 ) ( x + 10 ) ( x + 7 ) }$

C) $\frac { x ( x + 14 ) ( 9 x + 4 ) ( x + 7 ) ( x + 10 ) } { x ( 9 x + 4 ) ( x + 10 ) ( x + 7 ) }$

D) $\frac { ( x + 14 ) ( x + 10 ) } { x ( 9 x + 4 ) ( x + 10 ) ( x + 7 ) }$

Quizplus · Accepted Answer

The original denominator $9x^2 + 67x + 28$ can be factored into $(9x + 4)(x + 7)$. To match the given denominator, multiply the numerator by $(x + 10)$.

Rewrite the Rational Expression as an Equivalent Rational Expression with the Given