multiply this term in the quotient by the divisor.
multiply $8 \cdot (x - 5)$.

subtract.

there are no further terms to bring down. this division has a dropdown

Question

multiply this term in the quotient by the divisor.
multiply $8 \cdot (x - 5)$.

subtract.

there are no further terms to bring down. this division has a dropdown

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Polynomial Long Division" ], "new_concepts": [ "Remainder Theorem" ], "current_concepts": [ "Polynomial Long Division", "Remainder Theorem" ] } ## Identify the division result Using the *Polynomial Long Division* knowledge point $$ \begin{aligned} &\text{Divisor: } x - 5 \ &\text{Dividend: } x^2 + 3x - 40 \ &\text{Quotient: } x + 8 \ &\text{Remainder: } 0 \end{aligned} $$ ## Determine the final statement The division process terminates with a final subtraction of $ (8x - 40) - (8x - 40) = 0 $. Since the final value is $ 0 $, the division has a remainder of $ 0 $. There are no further terms to bring down. This division has a remainder of 0 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Long Division" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the division result

Determine the final statement

Answer: