the factorization of $x^2 + 3x - 4$ is modeled with algebra tiles.

what are the factors of $x^2 + 3x - 4$?

(x + 4) and (x - 4)
(x + 3) and (x - 4)
(x + 4) and (x - 1)
(x + 3) and (x - 1)

Question

the factorization of $x^2 + 3x - 4$ is modeled with algebra tiles.

what are the factors of $x^2 + 3x - 4$?

(x + 4) and (x - 4)
(x + 3) and (x - 4)
(x + 4) and (x - 1)
(x + 3) and (x - 1)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Algebra Tiles", "Factoring Trinomials" ], "new_concepts": [], "current_concepts": [ "Algebra Tiles", "Factoring Trinomials" ] } ## Identify the quadratic expression and its components $$ x^2 + 3x - 4 $$ ## Find two numbers that multiply to the constant term and add to the linear coefficient $$ \begin{aligned} a \cdot b &= -4 \ a + b &= 3 \ \text{Thus, } a &= 4, \quad b = -1 \end{aligned} $$ ## Write the factored form of the trinomial $$ x^2 + 3x - 4 = (x + 4)(x - 1) $$

(x + 4) and (x - 4)

(x + 3) and (x - 4)

(x + 4) and (x - 1)

(x + 3) and (x - 1)

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

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QUESTION IMAGE

Question

Explanation:

Identify the quadratic expression and its components

Find two numbers that multiply to the constant term and add to the linear coefficient

Write the factored form of the trinomial

Answer: