| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | D. x^{11}+10x^9+7x^8+6x^7+3x^3+5x+8 |
D |
| deepseekr1 | To simplify the given expression, combine like terms from both polynomials: \[ (9x^9 + 7x^8 + 4x^7) + (x^{11} + x^9 + 2x^7 + 3x^3 + 5x + 8) \] 1. **Combine terms by degree:** - \(x^{11}\): Only in the second polynomial → \(x^{11}\). - \(x^9\): \(9x^9 + x^9 = 10x^9\). - \(x^8\): Only in the first polynomial → \(7x^8\). - \(x^7\): \(4x^7 + 2x^7 = 6x^7\). - Lower-degree terms (\(3x^3, 5x, 8\)): Carried over directly. 2. **Arrange in descending order:** \[ x^{11} + 10x^9 + 7x^8 + 6x^7 + 3x^3 + 5x + 8 \] 3. **Verify answer choices:** - **A** and **B** omit lower-degree terms or have incorrect coefficients. - **C** has a typo (\(6x^73x^3\)) and is invalid. - **D** matches the simplified polynomial. **Answer: D** |
D |
| gpto1 | D | D |
| GPT-4o | To simplify the expression \((9x^9+7x^8+4x^7) + (x^{11}+x^9+2x^7+3x^3+5x+8)\), we need to combine like terms. 1. Identify and combine the terms with the same power of \(x\): - \(x^{11}\) term: \(x^{11}\) - \(x^9\) terms: \(9x^9 + x^9 = 10x^9\) - \(x^8\) term: \(7x^8\) - \(x^7\) terms: \(4x^7 + 2x^7 = 6x^7\) - \(x^3\) term: \(3x^3\) - \(x\) term: \(5x\) - Constant term: \(8\) 2. Write the simplified polynomial with the terms in decreasing order of their degrees: \[ x^{11} + 10x^9 + 7x^8 + 6x^7 + 3x^3 + 5x + 8 \] Thus, the correct answer is: D. \(x^{11}+10x^9+7x^8+6x^7+3x^3+5x+8\) |
D |
| llama3.1-70B-Instruct | The correct answer is D. |
D |
| llama3.1-405B-Instruct | D. |
D |
| DeepSeek-Coder-V2 | D | D |
| Qwen2-72B-Instruct | D. x^{11}+10x^9+7x^8+6x^7+3x^3+5x+8 | D |
| baichuan4 | D | D |
| doubao | D $(9x^9+7x^8+4x^7)+(x^{11}+x^9+2x^7+3x^3+5x+8)$ $=x^{11}+(9x^9+x^9)+7x^8+(4x^7+2x^7)+3x^3+5x+8$ $=x^{11}+10x^9+7x^8+6x^7+3x^3+5x+8$. |
D |
| minimax | To simplify the expression, we need to combine like terms. The like terms are those that have the same degree of x. Let's combine the terms from both polynomials: $(9x^9 + 7x^8 + 4x^7) + (x^{11} + x^9 + 2x^7 + 3x^3 + 5x + 8)$ Now, let's combine the like terms: - There is only one $x^{11}$ term, so it remains as $x^{11}$. - For $x^9$, we have $9x^9 + x^9 = 10x^9$. - For $x^8$, we have $7x^8$ (no like terms to combine with). - For $x^7$, we have $4x^7 + 2x^7 = 6x^7$. - For $x^3$, we have $3x^3$ (no like terms to combine with). - For $x$, we have $5x$ (no like terms to combine with). - For the constant term, we have $8$ (no like terms to combine with). So the simplified expression is: $x^{11} + 10x^9 + 7x^8 + 6x^7 + 3x^3 + 5x + 8$ The correct answer is: D. $x^{11} + 10x^9 + 7x^8 + 6x^7 + 3x^3 + 5x + 8$ |
D |
| kimi | To simplify the given expression, we combine like terms: \[ (9x^9 + 7x^8 + 4x^7) + (x^{11} + x^9 + 2x^7 + 3x^3 + 5x + 8) \] Combining the like terms: \[ x^{11} + (9x^9 + x^9) + (7x^8) + (4x^7 + 2x^7) + 3x^3 + 5x + 8 \] \[ = x^{11} + 10x^9 + 7x^8 + 6x^7 + 3x^3 + 5x + 8 \] So the correct answer is: D. \( x^{11}+10x^9+7x^8+6x^7+3x^3+5x+8 \) |
D |
| wenxinyiyan | D | D |
| zhipu | To simplify the given expression \((9x^9 + 7x^8 + 4x^7) + (x^{11} + x^9 + 2x^7 + 3x^3 + 5x + 8)\), we need to combine like terms. Let's break it down step-by-step: 1. **Combine \(x^{11}\) terms:** - There is only one \(x^{11}\) term: \(x^{11}\). 2. **Combine \(x^9\) terms:** - From the first part: \(9x^9\) - From the second part: \(x^9\) - Combined: \(9x^9 + x^9 = 10x^9\) 3. **Combine \(x^8\) terms:** - From the first part: \(7x^8\) - From the second part: there is no \(x^8\) term. - Combined: \(7x^8\) 4. **Combine \(x^7\) terms:** - From the first part: \(4x^7\) - From the second part: \(2x^7\) - Combined: \(4x^7 + 2x^7 = 6x^7\) 5. **Combine \(x^3\) terms:** - From the first part: there is no \(x^3\) term. - From the second part: \(3x^3\) - Combined: \(3x^3\) 6. **Combine \(x\) terms:** - From the first part: there is no \(x\) term. - From the second part: \(5x\) - Combined: \(5x\) 7. **Combine constant terms:** - From the first part: there is no constant term. - From the second part: \(8\) - Combined: \(8\) Putting it all together, the simplified polynomial is: \[ x^{11} + 10x^9 + 7x^8 + 6x^7 + 3x^3 + 5x + 8 \] So, the correct answer is: D. \( x^{11} + 10x^9 + 7x^8 + 6x^7 + 3x^3 + 5x + 8 \) Answer: D |
D |
| gpto1 | D | D |
| deepseekv3 | server error: Error code: 400 - {'error': {'code': 'RequestTimeOut', 'param': None, 'message': 'Request timed out, please try again later.', 'type': 'RequestTimeOut'}, 'id': 'chatcmpl-7940a3f9-ccac-9328-8ca6-5b9a70377744', 'request_id': '7940a3f9-ccac-9328-8ca6-5b9a70377744'} | D |