use the expression $\frac{x-6}{x+4}$
how many excluded value(s) are there?
1
what is the excluded value?
-4

identify the excluded value(s) of the rational expression.
$\frac{x^2+2x-3}{x^2+5x+6}$
-3
-2
1
2
3

Question

use the expression $\frac{x-6}{x+4}$
how many excluded value(s) are there?
1
what is the excluded value?
-4

identify the excluded value(s) of the rational expression.
$\frac{x^2+2x-3}{x^2+5x+6}$
-3
-2
1
2
3

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" ], "new_concepts": [], "current_concepts": [ "Excluded Values", "Rational Expressions", "Polynomial Factoring" ] } ## Identify the denominator of the rational expression $$ x^2 + 5x + 6 $$ ## Set the denominator to zero to find excluded values $$ x^2 + 5x + 6 = 0 $$ ## Factor the quadratic equation and solve for x $$ \begin{aligned} &(x + 2)(x + 3) = 0 \ &x = -2 \quad \text{or} \quad x = -3 \end{aligned} $$

(A) -3

(B) -2

(C) 1

(D) 2

(E) 3

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

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QUESTION IMAGE

Question

Explanation:

Identify the denominator of the rational expression

Set the denominator to zero to find excluded values

Factor the quadratic equation and solve for x

Answer: