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Polynomials are written with the exponents of the terms in what type of order?

descending form


Is monomials are polynomials?

Yes, monomials are a specific type of polynomial. A monomial is a polynomial that consists of only one term, which can include variables raised to non-negative integer exponents and coefficients. In contrast, a polynomial can have multiple terms, such as binomials (two terms) or trinomials (three terms). Therefore, all monomials are polynomials, but not all polynomials are monomials.


Putting mathematical terms in descending order?

evaluating polynomials


Are polynomials a closed set under addition?

Yes, polynomials are a closed set under addition. This means that if you take any two polynomials and add them together, the result will also be a polynomial. The sum of two polynomials retains the structure of a polynomial, as it still consists of terms with non-negative integer exponents and real (or complex) coefficients.


To set up long division of polynomials you should make sure that each polynomial is written in order and has no missing terms?

Make sure that each polynomial is written is DESCENDING order. *Apex student*


How do you add polynomials with dissimilar terms?

To add polynomials with dissimilar terms, you simply combine like terms by collecting the terms with the same variables and exponents. If a variable or exponent is not present in one polynomial, you leave it as it is. Then, you can add or subtract the coefficients of the like terms to arrive at your final answer.


Is every algebraic expression is a polynomial?

Not every algebraic expression is a polynomial. A polynomial consists of terms that are non-negative integer powers of variables, combined using addition, subtraction, and multiplication. In contrast, algebraic expressions can include terms with negative or fractional exponents, such as (x^{-1}) or (x^{1/2}), which do not qualify as polynomials. Therefore, while all polynomials are algebraic expressions, not all algebraic expressions are polynomials.


Hellllp meee. How do you add polynomials when you don't have any like terms?

Hellllp meee, how do you add polynomials when you don't have any like terms is a very common questions when it comes to this type of math. However, the polynomials can only be added if all terms are alike. No unlike terms can be added within the polynomials.


Can second order polynomials have more than three terms?

No. A second-order polynomial is of the form ax2 + bx + c, which is three terms exactly. More is impossible.


To write a polynomial in standard form write the exponents of the in descending order?

Terms


How many terms does polynomials have?

3


What are the operation of polynomials?

Adding and subtracting polynomials is simply the adding and subtracting of their like terms.