
1.x³+9x²+11x-212.x⁴-2x³-3x²+4x+43.x⁴-6x³-14x²-11x-4


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The question seems to be asking for the result of adding and subtracting a series of polynomial expressions.
Here are the polynomials provided:
1. `1.x³+9x²+11x-21` 2. `2.x⁴-2x³-3x²+4x+4` 3. `3.x⁴-6x³-14x²-11x-4`
The first step is to add or subtract these polynomials together. The coefficients of the like terms are added or subtracted.
For example, when adding the first and second polynomials, you would add the coefficients of `x³`, `x²`, `x`, and the constant term:
- For `x³`, add `1` and `2`, resulting in `3.x³`. - For `x²`, add `9` and `-2`, resulting in `7.x²`. - For `x`, add `11` and `4`, resulting in `15.x`. - For the constant term, add `-21` and `4`, resulting in `-17`.
So, the sum of the first two polynomials is `3.x³ + 7.x² + 15.x - 17`.
Next, subtract the third polynomial from the result:
- For `x⁴`, subtract `3` from `3`, resulting in `0.x⁴`. - For `x³`, subtract `6` from `0`, resulting in `-6.x³`. - For `x²`, subtract `14` from `7`, resulting in `-7.x²`. - For `x`, subtract `11` from `15`, resulting in `4.x`. - For the constant term, subtract `-4` from `-17`, resulting in `-21`.
So, the final result is `0.x⁴ - 6.x³ - 7.x² + 4.x - 21`.
This is a simplified version of the process. In a real-world scenario, you would use a calculator or software like WolframAlpha, Mathway, or Symbolab to perform these calculations , , .


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