Question

determine the value(s) for which the rational expression \frac{-11x + 1}{-30x^2 - 25x + 5} is undefined. if theres more than one value, list them separated by a comma, e.g. x = 2, 3.

provide your answer below:

x =

Explanation:

Identify the condition for an undefined rational expression

Using the Undefined Rational Expressions knowledge point
A rational expression is undefined when its denominator is equal to zero.

$$ -30x^2 - 25x + 5 = 0 $$

Factor out the greatest common factor

Using the Greatest Common Factor Factoring knowledge point

$$
LATEXBLOCK0
$$

Factor the quadratic trinomial

Using the Trinomial Factorization knowledge point

$$
LATEXBLOCK1
$$

Solve for x using the zero product property

Using the Zero Product Property knowledge point

$$
LATEXBLOCK2
$$

Answer:

Determine the value(s) for which the rational expression \(\frac{-11x + 1}{-30x^2 - 25x + 5}\) is undefined. If there's more than one value, list them separated by a comma, e.g. \(x = 2, 3\).

Provide your answer below:

\(x =\) <blank>\(-1, \frac{1}{6}\)</blank>