NCERT Solutions
Class 8 Maths
Algebraic Expressions and Identities

Ex.9.1 Q.2
Classify the following polynomials as monomials, binomials, trinomials.
Which polynomials do not fit in any of these three categories:
1. x + y,
2. 1000,
3. x + x2 + x3 + x4,
4. 7 + y + 5x,
5. 2y – 3y2,
6. 2y - 3y + 4y,
7. 5x – 4y + 3xy,
8. 4z – 15z2,
9. ab + bc + cd + da,
10. pqr,
11. p2 q + pq2,
12. 2p + 2q
1. Since x + y contains two terms. Therefore, it is binomial.
2. Since 1000 contains one term. Therefore, it is monomial.
3. Since x + x2 + x3 + x4 contains four terms. Therefore, it is a polynomial and it does not fit in above three categories.
4. Since 7 + y + 5x contains three terms. Therefore, it is trinomial.
5. Since 2y – 3y2 contains two terms. Therefore, it is binomial.
6. Since 2y – 3y2 + 4y3 contains three terms. Therefore, it is trinomial.
7. Since 5x – 4y + 3xy contains three terms. Therefore, it is trinomial.
8. Since 4x - 15z2 contains two terms. Therefore, it is binomial.
9. Since ab + bc + cd + da contains four terms. Therefore, it is a polynomial and it does not fit in above three categories.
10. Since pqr contains one terms. Therefore, it is monomial.
11. Since p2 q + pq2 contains two terms. Therefore, it is binomial.
12. Since 2p + 2q contains two terms. Therefore, it is binomial.