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Use of Algebraic Expressions in Formula of Perimeter of Figures

A trinomial i...

Question

A trinomial is an algebraic expression which contains unlike terms in it while a polynomial is an algebraic expression which contains greater than or equal to unlike term(s) in it.

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Solution

A trinomial is an algebraic expression which contains $3$ unlike terms in it while a polynomial is an algebraic expression which contains greater than or equal to $1$ unlike terms in it.

Term in an algebraic expression can be represented as:

Trinomial can be represented as:

Polynomial can be represented as:

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Q. An algebraic expression which contains 3 unlike terms is known as _____.

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Q. A binomial expression is an expression which contains unlike terms in it after simplification.

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Q. Assertion :The expression

3 x^{4} - 4 x^{\frac{3}{2}} + x^{2} = 2

is not a polynomial because the term

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contains a rational power of

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. Reason: The highest exponent in various terms of an algebraic expression in one variable is called its degree.

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