Simplify the rational expression. $$\frac { 14 - x } { x - 14 }$$
A) $- 1$ (Provided $x \neq 14$ )
B) $x + 14 \quad$ (Provided $x \neq 14 )$
C) 1 (Provided $x \neq 14 )$
D) $\frac { 14 - x } { x - 14 }$; cannot be simplified

Question

Quizplus · Accepted Answer

The expression $\frac { 14 - x } { x - 14 }$ can be simplified by factoring out a negative from the denominator or numerator, which flips the sign of each term in one of the expressions, making it $\frac { -(x - 14) } { x - 14 }$, which simplifies to $-1$ provided $x \neq 14$ to avoid division by zero.

Simplify the Rational Expression 14−xx−14\frac { 14 - x } { x - 14 }x−1414−x​

Simplify the Rational Expression $\frac { 14 - x } { x - 14 }$