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  • Give an example of a polynomial, which is: (i) monomial of degree 1 (ii) binomial of degree 20 (iii) Trinomial of degree 2

Give an example of a polynomial, which is:

(i) monomial of degree 1

(ii) binomial of degree 20

(iii) Trinomial of degree 2

Answers (1)

(i) x

(ii) 3x^{20}+4

(iii) x^{2}+2x+5

Solution

            Monomial: It is an algebraic expression consisting of only one term.

            Example: 2x

            Binomial means consisting of exactly two terms. These terms should not be like terms.

            For example: x^{2}+1 is a binomial

            x + 2x is not a binomial as these are like terms.

            Trinomial means consisting of exactly three terms. These terms should not be like terms.

            For example: x^{2}+2x+1 is a trinomial

            x + 2x is not a binomial as these are like terms.

Degree: Degree of an expression is the highest power of the monomial present in the expression with non-zero coefficient

(i) monomial of degree 1:

2x, x, y, 7y  etc.

(ii) binomial of degree 20:

  3x^{20}+4

(iii) Trinomial of degree 2:

 x^{2}+2x+5

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