find the excluded values in this rational expression.

\\frac{3x^2 - 5x - 2}{x^2 - 3x - 10}\

$x \
eq ?, \quad$

enter the smallest excluded value first.

Question

find the excluded values in this rational expression.

\\frac{3x^2 - 5x - 2}{x^2 - 3x - 10}\

$x \
eq ?, \quad$

enter the smallest excluded value first.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Excluded Values", "Factoring Trinomials" ], "new_concepts": [], "current_concepts": [ "Excluded Values", "Factoring Trinomials", "Simplifying Rational Expressions" ] } ## Identify the denominator of the rational expression $$ x^2 - 3x - 10 $$ ## Set the denominator equal to zero and factor $$ \begin{aligned} &x^2 - 3x - 10 = 0 \ &(x - 5)(x + 2) = 0 \end{aligned} $$ ## Solve for the excluded values $$ \begin{aligned} &x - 5 = 0 \implies x = 5 \ &x + 2 = 0 \implies x = -2 \end{aligned} $$ Find the excluded values in this rational expression. $$\frac{3x^2 - 5x - 2}{x^2 - 3x - 10}$$ $x eq$ -2, 5 Enter the smallest excluded value first. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Excluded Values" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the denominator of the rational expression

Set the denominator equal to zero and factor

Solve for the excluded values

Answer: