Question

hw 12.2_add & subtract rational expressions
score: 7/17 answered: 7/17
question 8
simplify and reduce to the lowest terms. (leave answer in factored form.)
\\(\frac{11}{x} - 14 =\\)

Explanation:

Step1: Rewrite 14 as a fraction over $x$

To subtract, express 14 with denominator $x$: $14 = \frac{14x}{x}$

Step2: Subtract the rational expressions

Combine the fractions over common denominator $x$:
$\frac{11}{x} - \frac{14x}{x} = \frac{11 - 14x}{x}$

Step3: Factor numerator (optional, reorder terms)

Rearrange terms in numerator: $\frac{-14x + 11}{x} = \frac{-(14x - 11)}{x}$

Answer:

$\frac{11 - 14x}{x}$ (or $\frac{-(14x - 11)}{x}$)