select the correct answer.

one factor of the polynomial (x^3 - 7x^2 + 13x - 3) is ((x - 3)). what is the other factor of the polynomial? (note: use long or synthetic division.)

((x^2 + 4x - 1))
((x^2 - 4x + 1))
((x - 4))
((x + 4))

Question

select the correct answer.

one factor of the polynomial (x^3 - 7x^2 + 13x - 3) is ((x - 3)). what is the other factor of the polynomial? (note: use long or synthetic division.)

((x^2 + 4x - 1))
((x^2 - 4x + 1))
((x - 4))
((x + 4))

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Long Division", "Synthetic Division" ], "new_concepts": [], "current_concepts": [ "Polynomial Long Division", "Synthetic Division", "Polynomial Factoring" ] } ## Set up synthetic division $$ \begin{array}{r|rrrr} 3 & 1 & -7 & 13 & -3 \ & & 3 & -12 & 3 \ \hline & 1 & -4 & 1 & 0 \end{array} $$ ## Interpret the quotient $$ q(x) = 1x^2 - 4x + 1 $$

(A) $(x^2 + 4x - 1)$

(B) $(x^2 - 4x + 1)$

(C) $(x - 4)$

(D) $(x + 4)$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Synthetic Division" ] }

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Question

Explanation:

Set up synthetic division

Interpret the quotient

Answer: