7.5 factoring trinomials quiz

true or false:
(2x^2+7x+3 = (2x+3)(x+1))

true
false

Question

7.5 factoring trinomials quiz

true or false:
(2x^2+7x+3 = (2x+3)(x+1))

true
false

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Multiplying Polynomials", "Factoring Polynomials" ], "new_concepts": [], "current_concepts": [ "Multiplying Polynomials", "Factoring Polynomials" ] } ## Expand the right side Using the *Multiplying Polynomials* knowledge point $$ \begin{aligned} (2x+3)(x+1) &= 2x(x) + 2x(1) + 3(x) + 3(1) \ &= 2x^2 + 2x + 3x + 3 \ &= 2x^2 + 5x + 3 \end{aligned} $$ ## Compare the polynomials Using the *Factoring Polynomials* knowledge point $$ \begin{aligned} 2x^2 + 5x + 3 & eq 2x^2 + 7x + 3 \end{aligned} $$ The given equation is false.

True

False

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Polynomials" ] }

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QUESTION IMAGE

Question

Explanation:

Expand the right side

Compare the polynomials

Answer: