enter the correct answer in the box.

what standard form polynomial expression represents the perimeter of this quadrilateral?

side lengths:
(4x^3 + 2x^2)
(3x^2 - 4x + 3)
(x^3 - 2x)
(x^2 + 6x - 11)

image not to scale

Question

enter the correct answer in the box.

what standard form polynomial expression represents the perimeter of this quadrilateral?

side lengths:
(4x^3 + 2x^2)
(3x^2 - 4x + 3)
(x^3 - 2x)
(x^2 + 6x - 11)

image not to scale

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Addition", "Combining Like Terms" ], "new_concepts": [], "current_concepts": [ "Polynomial Addition", "Combining Like Terms", "Perimeter of Polygons" ] } ## Sum the side lengths of the quadrilateral $$ P = (4x^3 + 2x^2) + (3x^2 - 4x + 3) + (x^3 - 2x) + (x^2 + 6x - 11) $$ ## Group and combine like terms by degree $$ \begin{aligned} P &= (4x^3 + x^3) + (2x^2 + 3x^2 + x^2) + (-4x - 2x + 6x) + (3 - 11) \ P &= 5x^3 + 6x^2 + 0x - 8 \ P &= 5x^3 + 6x^2 - 8 \end{aligned} $$ What standard form polynomial expression represents the perimeter of this quadrilateral? $5x^3 + 6x^2 - 8$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Addition" ] }

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QUESTION IMAGE

Question

Explanation:

Sum the side lengths of the quadrilateral

Group and combine like terms by degree

Answer: