Simplify the rational expression.
-$$\frac { 4 x ^ { 2 } - 11 x - 3 } { 2 x ^ { 2 } - 9 x + 9 }$$
A) $\frac { x + 2 } { x - 2 }$
B) $\frac { x - 1 } { x + 3 }$
C) $\frac { 4 x + 1 } { 2 x - 3 }$
D) $\frac { 4 x - 3 } { 2 x + 3 }$

Question

Quizplus · Accepted Answer

To simplify the given rational expression, factor both the numerator and the denominator. The numerator $4x^2 - 11x - 3$ can be factored as $(4x + 1)(x - 3)$, and the denominator $2x^2 - 9x + 9$ can be factored as $(2x - 3)(x - 3)$. After factoring, the $(x - 3)$ terms cancel out, leaving $\frac{4x + 1}{2x - 3}$, which matches choice C.

Simplify the Rational Expression 4x2−11x−32x2−9x+9\frac { 4 x ^ { 2 } - 11 x - 3 } { 2 x ^ { 2 } - 9 x + 9 }2x2−9x+94x2−11x−3​

Simplify the Rational Expression $\frac { 4 x ^ { 2 } - 11 x - 3 } { 2 x ^ { 2 } - 9 x + 9 }$