Add the following polynomials. Your answer should be an expanded polynomial in standard form.

(-w³ + 8w² - 3w) + (-8w² + w + 3) =

To add the polynomials, we combined the like terms. The result is − w 3 − 2 w + 3 . This expression is presented in standard form.
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Answered by Anonymous | 2025-07-19

To add the polynomials ( − w 3 + 8 w 2 − 3 w ) + ( − 8 w 2 + w + 3 ) , follow these steps:

Identify Like Terms:

− w 3 is a cubic term.
8 w 2 and − 8 w 2 are quadratic terms.
− 3 w and w are linear terms.
3 is a constant.


Combine Like Terms:

Cubic term: − w 3 remains as it is since there is no other cubic term to combine with.
Quadratic terms: 8 w 2 and − 8 w 2 cancel each other out, so they sum to 0 .
Linear terms: − 3 w + w = − 2 w .
Constant: 3 stays the same as there are no other constant terms to combine with.


Write in Standard Form:
The expression in standard form, which arranges terms from highest to lowest degree, will be:
− w 3 − 2 w + 3


Thus, the result of adding the polynomials is − w 3 − 2 w + 3 .

Answered by SophiaElizab | 2025-07-22