Chapter 9 . Algebraic Expressions and Identities

Exercise 9.1

1. Identify the terms, their coefficients for each of the following expressions.
(i) 5xyz²-3zy 

(ii) 1 + x +x²  

(iii)  4x²y²-4x²y²z²+z² 
(iv) 3 – pq + qr – rp 

(v)   x2+y2- xy 

(vi)  0.3a – 0.6ab + 0.5b
Solution: We have ,

2. Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?
x + y  , 1000 ,  x + x2+ x3+x4  ,  7 + y + 5x ,  2y – 3y2 ,   2y – 3y2+ 4y3 ,  5x – 4y + 3xy ,
4z – 15z2 ,  ab + bc + cd + da ,   pqr  ,  p2q+pq2 ,  2p + 2q
Solution:  We have ,