NCERT Mathematics Class 9 Exemplar Ch 2 Polynomials Part 4

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Exercise 2.2

Q.1. Which of the following expressions are polynomials? Justify your answer:

(i) 8








Answer: Polynomials: (i), (ii), (iv), (vii) because the exponent of the variable after simplification in each of these is a whole number.

Q.2. Write whether the following statements are true or false. Justify your answer.

(i) A binomial can have at most two terms

(ii) Every polynomial is a binomial

(iii) A binomial may have degree 5

(iv) Zero of a Polynomial is always 0

(v) A polynomial cannot have more than one zero

(vi) The degree of the sum of two polynomials each of degree 5 is always 5.

Answer: (i) False, because a binomial has exactly two terms.

(ii) False, is a polynomial but not a binomial?

(iii) True, because a binomial is a polynomial whose degree is a whole number , so, degree can be 5 also.

(iv) False, because zero of a Polynomials can be any real number.

(v) False, a polynomial can have any number of zeroes. It depends upon the degree of the polynomial.

(vi) False, and are two polynomials of degree 5 but the degree of the sum of the two polynomials is 1.

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