select all the correct answers.

for which values is this expression undefined?

\\frac{x-1}{x^2-2x-3} + \frac{5}{2x^2+2x}\

$x = -2$
$x = 3$
$x = 1$
$x = 0$
$x = -1$
$x = 5$

Question

select all the correct answers.

for which values is this expression undefined?

\\frac{x-1}{x^2-2x-3} + \frac{5}{2x^2+2x}\

$x = -2$
  $x = 3$
  $x = 1$
  $x = 0$
  $x = -1$
  $x = 5$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Excluded Values", "Factoring Quadratics" ], "new_concepts": [], "current_concepts": [ "Rational Expressions", "Excluded Values", "Factoring Quadratics" ] } ## Factor the denominators of the rational expression $$ \begin{aligned} x^2 - 2x - 3 &= (x - 3)(x + 1) \ 2x^2 + 2x &= 2x(x + 1) \end{aligned} $$ ## Set each denominator factor to zero $$ \begin{aligned} x - 3 &= 0 \implies x = 3 \ x + 1 &= 0 \implies x = -1 \ 2x &= 0 \implies x = 0 \end{aligned} $$ ## Identify the undefined values from the options $$ x \in \{-1, 0, 3\} $$

$x = -2$

$x = 3$

$x = 1$

$x = 0$

$x = -1$

$x = 5$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Excluded Values" ] }

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QUESTION IMAGE

Question

Explanation:

Factor the denominators of the rational expression

Set each denominator factor to zero

Identify the undefined values from the options

Answer: