Simplify the rational expression.
-$$\frac { 2 x ^ { 2 } - 16 x + 24 } { x - 6 }$$
A) $\frac { 1 } { x - 6 }$
B) $2 x - 4$
C) $2 x ^ { 2 } - 20$
D) $\frac { 2 x ^ { 2 } - 16 x + 24 } { x - 6 }$

Question

Quizplus · Accepted Answer

The numerator can be factored as $2(x^2 - 8x + 12)$, which simplifies further to $2(x^2 - 4x - 4x + 12)$. Factoring by grouping, we get $2(x(x - 4) - 4(x - 3))$, which simplifies to $2(x - 4)(x - 3)$. When divided by $x - 6$, the expression simplifies to $2(x - 4)$, since the $x - 3$ term does not cancel out with anything in the denominator.

Simplify the Rational Expression 2x2−16x+24x−6\frac { 2 x ^ { 2 } - 16 x + 24 } { x - 6 }x−62x2−16x+24​

Simplify the Rational Expression $\frac { 2 x ^ { 2 } - 16 x + 24 } { x - 6 }$