find the factors of the above quadratic equation.

\x^2 + 11x - 1452 = 0\

a. $(x - 44)(x - 33)$
b. $(x + 44)(x + 33)$
c. $(x - 44)(x + 33)$
d. $(x + 44)(x - 33)$

Question

find the factors of the above quadratic equation.

\x^2 + 11x - 1452 = 0\

a. $(x - 44)(x - 33)$
b. $(x + 44)(x + 33)$
c. $(x - 44)(x + 33)$
d. $(x + 44)(x - 33)$

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": [ "Quadratic Equations", "Factoring Quadratic Trinomials" ], "new_concepts": [], "current_concepts": [ "Quadratic Equations", "Factoring Quadratic Trinomials" ] } ## Identify the quadratic equation Using the *Quadratic Equations* knowledge point $$ x^2 + 11x - 1452 = 0 $$ ## Find two numbers that multiply to -1452 and add to 11 Using the *Factoring Quadratic Trinomials* knowledge point $$ \begin{aligned} &a \cdot b = -1452 \ &a + b = 11 \ &44 \cdot (-33) = -1452 \ &44 + (-33) = 11 \end{aligned} $$ ## Write the factored form Using the *Factoring Quadratic Trinomials* knowledge point $$ (x + 44)(x - 33) = 0 $$

a. (x - 44) (x - 33)

b. (x + 44) (x + 33)

c. (x - 44) (x + 33)

d. (x + 44) (x - 33)

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

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QUESTION IMAGE

Question

Explanation:

Identify the quadratic equation

Find two numbers that multiply to -1452 and add to 11

Write the factored form

Answer: