select the correct answer from the drop-down menu.

find the polynomial.

\{5\} is the solution set of choose an answer.

choose an answer
$x^2 - 5x + 25 = 0$
$x^2 + 10x + 25 = 0$
$x^2 - 10x + 25 = 0$
$x^2 + 5x + 25 = 0$

Question

select the correct answer from the drop-down menu.

find the polynomial.

\{5\} is the solution set of choose an answer.

choose an answer
$x^2 - 5x + 25 = 0$
$x^2 + 10x + 25 = 0$
$x^2 - 10x + 25 = 0$
$x^2 + 5x + 25 = 0$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Quadratic Functions", "Zeros and Factors" ], "new_concepts": [], "current_concepts": [ "Quadratic Functions", "Zeros and Factors" ] } ## Write the quadratic equation from the given solution set $$ \begin{aligned} &x = 5 \implies (x - 5) = 0 \ &(x - 5)^2 = 0 \end{aligned} $$ ## Expand the squared binomial $$ \begin{aligned} &(x - 5)^2 = x^2 - 2(5)x + 5^2 \ &x^2 - 10x + 25 = 0 \end{aligned} $$

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

$x^2 + 10x + 25 = 0$

$x^2 - 10x + 25 = 0$

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

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Functions" ] }

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QUESTION IMAGE

Question

Explanation:

Write the quadratic equation from the given solution set

Expand the squared binomial

Answer: