fill in the blank with a number to make the expression a perfect square.

$x^2 + 4x + \square$

Question

fill in the blank with a number to make the expression a perfect square.

$x^2 + 4x + \square$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Trinomial Factoring" ], "new_concepts": [ "Completing the Square" ], "current_concepts": [ "Trinomial Factoring", "Completing the Square" ] } ## Identify the perfect square trinomial form $$ (x + a)^2 = x^2 + 2ax + a^2 $$ ## Determine the value of the constant term $$ \begin{aligned} 2a &= 4 \ a &= 2 \ a^2 &= 2^2 = 4 \end{aligned} $$ Fill in the blank with a number to make the expression a perfect square. $x^2 + 4x +$ 4 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Completing the Square" ] }

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Question

Explanation:

Identify the perfect square trinomial form

Determine the value of the constant term

Answer: