Simplify Rational Expressions
-$$\frac { 2 x ^ { 2 } - 20 x + 42 } { x - 7 }$$

Question

Quizplus · Accepted Answer

To simplify the given rational expression, factor the numerator and then divide by the denominator if possible. The numerator $2x^2 - 20x + 42$ can be factored as $2(x^2 - 10x + 21)$. Factoring further, we get $2(x-7)(x-3)$. Thus, the expression simplifies to $\frac{2(x-7)(x-3)}{x-7}$, which simplifies to $2(x-3)$ or $2x-6$, with the restriction $x \neq 7$ to avoid division by zero.

Simplify Rational Expressions - 2x2−20x+42x−7\frac { 2 x ^ { 2 } - 20 x + 42 } { x - 7 }x−72x2−20x+42​

Simplify Rational Expressions
- $\frac { 2 x ^ { 2 } - 20 x + 42 } { x - 7 }$