Arrange the terms of the polynomial in ascending powers of b.
25db^5-7dm+3b^10-6db^6
the powers are 0,5,6,10
To arrange the terms of the polynomial in ascending powers of b, you need to rewrite the polynomial with the terms sorted according to the powers of b. Here's the step-by-step process:
1. Start with the given polynomial: 25db^5 - 7dm + 3b^10 - 6db^6
2. Identify the terms with the highest power of b and rewrite them first. In this case, the term with the highest power is 3b^10.
3. Write the next term with the next highest power of b. In this case, it is -6db^6.
4. Follow the same pattern and write the remaining terms in ascending powers of b. The next term is 25db^5, followed by -7dm.
5. Putting it all together, rearrange the terms in ascending powers of b:
3b^10 - 6db^6 + 25db^5 - 7dm
So, the polynomial arranged in ascending powers of b is 3b^10 - 6db^6 + 25db^5 - 7dm.