Issues with these 2 math problems and no examples in the book.

S^8/S^5

-4x^3+9x^2-6x-1

when you divide two powers with the same base, keep the base and subtract the exponents.

S^8/S^5 = S^(8-5) = S^3

-4x^3+9x^2-6x-1

What do you want done with it? Factor it?
I think you have a typo.
I think it should have been -4x^3+9x^2-6x+1 then the factors would be
-(x-1)(x-1)(4x-1)

To solve these math problems, let's break them down step by step:

1. S^8/S^5:
When dividing exponents with the same base, you subtract the exponents. In this case, the base is "S." Therefore, the answer becomes S^(8-5) which simplifies to S^3.

2. -4x^3+9x^2-6x-1:
This is an algebraic expression with four terms. There is no specific question asked in this problem. If you want to simplify or factorize it, here's what you can do:

- To simplify: No further simplification is possible since the expression already seems simplified.
- To factorize: It seems that the expression cannot be easily factorized further since there are no common factors among the terms.

Without examples from the book, it is hard to provide more guidance on the specific issues you are facing. However, if you provide more information or ask specific questions, I'll be happy to help further.