Final answer:
Rewriting a polynomial in standard form involves factoring, expanding, simplifying, and rearranging the terms in descending order of their degrees. Simplify the algebra by eliminating terms and check your work to ensure it's reasonable.
Step-by-step explanation:
To rewrite the polynomial in standard form, you can use a combination of the following methods:
- Factoring - Breaking down the polynomial into simpler polynomials that multiply to give the original polynomial.
- Expanding - Working out the multiplication of polynomials to write it as a sum of terms.
- Simplifying - Eliminate terms wherever possible to reduce the equation to its simplest form.
- Rearranging - Rearrange the terms in descending order of their degree, which is the standard form of a polynomial.
While solving, we also follow these two essential steps:
- Eliminate terms wherever possible to simplify the algebra.
- After simplifying, check the answer to ensure it is reasonable, which involves confirming that the standard form is in descending powers and there are no like terms that can be combined.
In the context of equation manipulation, you might encounter an equation in one variable. Here, you should aim to solve for the unknown value by simplifying the expression, which could include making both sides integers for ease of understanding, as mentioned in A.9 and A.34.