Final answer:
To subtract one polynomial from another as in (2x + 2) - (3x + 11), distribute the subtraction sign to each term of the second polynomial and combine like terms to find the final solution, which, in this case, is -x - 9.
Step-by-step explanation:
When you want to subtract one polynomial from another, you need to subtract each term individually. The question (2x + 2) - (3x + 11) asks us to subtract the second polynomial from the first. Here's how you do it step by step:
- Distribute the subtraction sign to each term in the second polynomial: (2x + 2) - 3x - 11.
- Combine like terms: 2x - 3x becomes -x, and 2 - 11 becomes -9.
- The final solution is: -x - 9.
Just like when you subtract scalars, you change the sign of the subtracted number before operating the addition. If you're substituting values or rearranging equations, remember to apply all operations to both sides equally.