# NCERT Mathematics Class 10 Exemplar Ch 2 Polynomials Exemplar Problems Part 2 (For CBSE, ICSE, IAS, NET, NRA 2023)

Glide to success with Doorsteptutor material for CBSE/Class-10 : get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-10.

EXERCISE 2.2

(i) Can be the quotient on division of by a polynomial in x of degree 5?

(ii) What will the quotient and remainder be on division of by , ?

(iii) If on division of a polynomial by a polynomial , the quotient is zero, what is the relation between the degrees of and ?

(iv) If on division of a non-zero polynomial by a polynomial , the remainder is zero, what is the relation between the degrees of and ?

(v) Can the quadratic polynomial has equal zeroes for some odd integer ?

(i) If the zeroes of a quadratic polynomial are both positive, then a, b and c all have the same sign.

(ii) If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.

(iii) If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.

(iv) If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms.