Write the rational expression in lowest terms.
-$$\frac { 3 x ^ { 2 } + 6 x } { 5 x 2 + 14 x + 8 }$$
A) $\frac { 3 x } { 5 x + 4 }$
B) $\frac { 3 x + 5 } { 5 x + 14 }$
C) $\frac { x } { 5 x + 4 }$
D) $\frac { 3 } { 5 x + 4 }$

Question

Quizplus · Accepted Answer

First, factor both the numerator and the denominator. The numerator $3x^2 + 6x$ factors to $3x(x + 2)$. The denominator $5x^2 + 14x + 8$ factors to $(5x + 4)(x + 2)$. Cancel the common factor $(x + 2)$ to get $\frac{3x}{5x + 4}$.

Write the Rational Expression in Lowest Terms 3x2+6x5x2+14x+8\frac { 3 x ^ { 2 } + 6 x } { 5 x 2 + 14 x + 8 }5x2+14x+83x2+6x​

Write the Rational Expression in Lowest Terms $\frac { 3 x ^ { 2 } + 6 x } { 5 x 2 + 14 x + 8 }$