juanita begins to factor an expression as shown.

(x^2+3x-18=(x+\square)(x-\square))

what numbers should be placed in the boxes from left to right?

3 and 6
2 and 9
6 and 3
9 and 2

Question

juanita begins to factor an expression as shown.

(x^2+3x-18=(x+\square)(x-\square))

what numbers should be placed in the boxes from left to right?

3 and 6
2 and 9
6 and 3
9 and 2

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Factoring Trinomials" ], "new_concepts": [], "current_concepts": [ "Factoring Trinomials", "Trinomial Coefficients" ] } ## Identify the trinomial and target structure $$ x^2 + 3x - 18 = (x + \square)(x - \square) $$ ## Find factors of -18 that sum to 3 $$ \begin{aligned} &a \cdot (-b) = -18 \ &a - b = 3 \ &a = 6, \quad b = 3 \end{aligned} $$ ## Match the values to the boxes $$ (x + 6)(x - 3) $$ The numbers in the boxes from left to right are 6 and 3.

3 and 6

2 and 9

6 and 3

9 and 2

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

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QUESTION IMAGE

Question

Explanation:

Identify the trinomial and target structure

Find factors of -18 that sum to 3

Match the values to the boxes

Answer: