select the correct answer.

one of the factors of the polynomial $x^3 + 5x^2 + 6x$ is $(x^2 + 3x)$. what is the other factor?

$x - 2$

$x + 2$

$x + 1$

$x - 1$

Question

select the correct answer.

one of the factors of the polynomial $x^3 + 5x^2 + 6x$ is $(x^2 + 3x)$. what is the other factor?

$x - 2$

$x + 2$

$x + 1$

$x - 1$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Factoring Polynomials" ], "new_concepts": [], "current_concepts": [ "Factoring Polynomials", "Polynomial Division" ] } ## Factor out the greatest common factor $$ x^3 + 5x^2 + 6x = x(x^2 + 5x + 6) $$ ## Factor the remaining quadratic expression $$ x^2 + 5x + 6 = (x + 2)(x + 3) $$ ## Identify the given factor and find the other factor $$ \begin{aligned} x^3 + 5x^2 + 6x &= (x)(x + 3)(x + 2) \ &= (x^2 + 3x)(x + 2) \end{aligned} $$

(A) $x - 2$

(B) $x + 2$

(C) $x + 1$

(D) $x - 1$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Factor out the greatest common factor

Factor the remaining quadratic expression

Identify the given factor and find the other factor

Answer: