Simplify the rational expression. If the rational expression cannot be simplified, so state.
-$$\frac { 4 x + 20 } { 5 x ^ { 2 } + 31 x + 30 }$$
A) $\frac { 4 x + 5 } { 5 x + 31 }$
B) $\frac { 4 x } { 5 x + 6 }$
C) $\frac { 4 } { 5 x + 6 }$
D) Cannot be simplified

Question

Quizplus · Accepted Answer

The given expression can be simplified by factoring both the numerator and the denominator. The numerator $4x + 20$ can be factored as $4(x + 5)$. The denominator $5x^2 + 31x + 30$ can be factored as $(5x + 6)(x + 5)$. After factoring, the $(x + 5)$ term cancels out, leaving $\frac{4}{5x + 6}$.

Simplify the Rational Expression 4x+205x2+31x+30\frac { 4 x + 20 } { 5 x ^ { 2 } + 31 x + 30 }5x2+31x+304x+20​

Simplify the Rational Expression $\frac { 4 x + 20 } { 5 x ^ { 2 } + 31 x + 30 }$