question 6

divide:
$(8x^2 + 2x + 16) \div (2)$

- $x^2 + x + 8$
- $4x^2 + x + 4$
- $5x + 8$
- $4x^2 + x + 8$

question 7

divide:
$(-80w^6 + 30w^5 - 50w^4) \div (-10w^4)$

- $-8w^2 + 30w - 5$
- $8x^{\frac{3}{2}} - 3w^{\frac{5}{4}} + 5$
- $8w^2 - 3w + 5$
- $-8w^{\frac{3}{2}} + 3w^{\frac{5}{4}} - 5$

Question

question 6

divide:
$(8x^2 + 2x + 16) \div (2)$

- $x^2 + x + 8$
- $4x^2 + x + 4$
- $5x + 8$
- $4x^2 + x + 8$

question 7

divide:
$(-80w^6 + 30w^5 - 50w^4) \div (-10w^4)$

- $-8w^2 + 30w - 5$
- $8x^{\frac{3}{2}} - 3w^{\frac{5}{4}} + 5$
- $8w^2 - 3w + 5$
- $-8w^{\frac{3}{2}} + 3w^{\frac{5}{4}} - 5$

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Division", "Monomial Division" ], "new_concepts": [], "current_concepts": [ "Polynomial Division", "Monomial Division" ] } ## Divide the first polynomial by the constant $$ \begin{aligned} \frac{8x^2 + 2x + 16}{2} &= \frac{8x^2}{2} + \frac{2x}{2} + \frac{16}{2} \ &= 4x^2 + x + 8 \end{aligned} $$ ## Divide the second polynomial by the monomial $$ \begin{aligned} \frac{-80w^6 + 30w^5 - 50w^4}{-10w^4} &= \frac{-80w^6}{-10w^4} + \frac{30w^5}{-10w^4} + \frac{-50w^4}{-10w^4} \ &= 8w^{6-4} - 3w^{5-4} + 5w^{4-4} \ &= 8w^2 - 3w + 5 \end{aligned} $$ ## Question 6 (A) $x^2 + x + 8$

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

(C) $5x + 8$

(D) $4x^2 + x + 8$ ## Question 7 (A) $-8w^2 + 30w - 5$

(B) $8x^{\frac{3}{2}} - 3w^{\frac{5}{4}} + 5$

(C) $8w^2 - 3w + 5$

(D) $-8w^{\frac{3}{2}} + 3w^{\frac{5}{4}} - 5$

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

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QUESTION IMAGE

Question

Explanation:

Divide the first polynomial by the constant

Divide the second polynomial by the monomial

Answer:

Question 6

Question 7