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classify polynominals based on terms . 2/3 r^4​

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Answered by XxcuteboyxX2
1

Answer:

In algebra, a polynomial is an expression that is made up of variables and constants in which the exponents of the variables are only positive integers and not fractions. The polynomial terms are separated mostly by either addition or subtraction operators. Polynomials find their applications in writing polynomial equations and defining polynomial functions. An example of a polynomial expression is x2+2x-3. This polynomial has a degree of 2 since the term with the highest power of 'x' is 'x2'. This polynomial has 3 terms. Polynomials can be categorized with respect to their total number of terms and their degree.

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Answered by sahibsaifi12291
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Step-by-step explanation:

Based on the number of terms, polynomials are classified as:

Monomials: A monomial is a polynomial expression that contains only one term. For example 4t, 21x, 2y, 9pq. Furthermore, 2x + 5x + 10x is a monomial because these are like terms added together that result in 17x.

Binomials: A binomial is a polynomial with two, unlike terms. For example, 3x + 4x2 is a binomial as it contains two unlike terms, that is, 3x and 4x2. and 10pq + 13p2.

Trinomials: A trinomial is a polynomial with three, unlike terms. For example, 3x + 5x2 – 6x3 and 12pq + 4x2 – 10.

We can also have more than 3 terms in a polynomial expression. Polynomials that have 4 unlike terms are called four-term polynomials. Similarly, polynomials with 5 terms are called five-term polynomials, and so on.

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