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The sum of two polynomials is always a polynomial. Therefore, it follows that the sum of more than two polynomials is also a polynomial.
Adding and subtracting polynomials is simply the adding and subtracting of their like terms.
division
A "non-polynomial" can be just about anything; how alike they are depends what function (or non-function) you specifically have in mind.
look in a dictionary
Add together the coefficients of "like" terms. Like terms are those that have the same powers of the variables in the polynomials.
6+6=12 Boom polynomial
Yes, the product of two polynomials will always be a polynomial. This is because when you multiply two polynomials, you are essentially combining like terms and following the rules of polynomial multiplication, which results in a new polynomial with coefficients that are the products of the corresponding terms in the original polynomials. Therefore, the product of two polynomials will always be a polynomial.
To add polynomials , simply combine similar terms. Combine similar terms get the sum of the numerical coefficients and affix the same literal coefficient .
There are a few rules for simplifying an algebraic expression. Specifically, one should combine like terms, and then they should try to isolate the variable by doing the opposite, either multiplication or division.
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The sum of three polynomials must again be a polynomial because polynomials are defined as expressions consisting of variables raised to non-negative integer powers, combined using addition, subtraction, and multiplication by constants. When you add polynomials, the resulting expression will still adhere to these rules, maintaining the structure of a polynomial. Specifically, the degrees of the resulting polynomial will be determined by the highest degree among the summed polynomials, ensuring it remains a polynomial. Therefore, the sum of any number of polynomials is always a polynomial.
Other polynomials of the same, or lower, order.
Reducible polynomials.
they have variable