question 1 (1 point)
determine the missing factor: $x^2 + 9x + 14 = (x + 2)(?)$
- $(x + 14)$
- $(x - 9)$
- $(x + 7)$
- $(x + 12)$

question 2 (2 points)
determine the missing factor: $-8x + x^2 + 15 = (?)(x - 3)$
- $(x + 5)$
- $(x - 8)$
- $(x + 8)$
- $(x - 5)$

Question

question 1 (1 point)
determine the missing factor: $x^2 + 9x + 14 = (x + 2)(?)$
- $(x + 14)$
- $(x - 9)$
- $(x + 7)$
- $(x + 12)$

question 2 (2 points)
determine the missing factor: $-8x + x^2 + 15 = (?)(x - 3)$
- $(x + 5)$
- $(x - 8)$
- $(x + 8)$
- $(x - 5)$

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Polynomial Factoring", "Factorability of Trinomials" ], "new_concepts": [], "current_concepts": [ "Polynomial Factoring", "Factorability of Trinomials", "Quadratic Relations" ] } ## Factor the first quadratic trinomial Using the *Polynomial Factoring* and *Factorability of Trinomials* knowledge points $$ \begin{aligned} &x^2 + 9x + 14 = (x + 2)(x + 7) \end{aligned} $$ ## Factor the second quadratic trinomial Using the *Polynomial Factoring* and *Factorability of Trinomials* knowledge points $$ \begin{aligned} &x^2 - 8x + 15 = (x - 3)(x - 5) \end{aligned} $$ ## Question 1 (A) $(x + 14)$

(B) $(x - 9)$

(C) $(x + 7)$

(D) $(x + 12)$ ## Question 2 (A) $(x + 5)$

(B) $(x - 8)$

(C) $(x + 8)$

(D) $(x - 5)$

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

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QUESTION IMAGE

Question

Explanation:

Factor the first quadratic trinomial

Factor the second quadratic trinomial

Answer:

Question 1

Question 2