Q. 24.4( 13 Votes )

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category?

(i) x+y

(ii) 1000

(iii) x+x2+x3+x4

(iv)7+a+5b

(v) 2b-3b2

(vi) 2y-3y2+4y3

(vii) 5x-4y+3x

(viii) 4a-15a2

(ix) xy+yz+zt+tx

(x) pqr

(xi) p2q+pq2

(xii) 2p+2q

Answer :

(i) x+y


This expression contains two terms x and y


So, it is called ‘Binomial’


(ii) 1000


It contains one term 1000


So, it is called monomial


(iii) x+x2+x3+x4


It contains four terms


So, it is not a monomial, binomial and trinomial


(iv)7+a+5b


It contains three terms


So, it is called trinomial


(v) 2b-3b2


It contains two terms


So, it is called binomial


(vi) 2y-3y2+4y3


It contains three terms


So, it is called trinomial


(vii) 5x-4y+3x


8x – 4y


It contains two terms


So, it is called binomial


(viii) 4a-15a2


It contains two terms


So, it is called binomial


(ix) xy+yz+zt+tx


It contains four terms


So, it is not a monomial, binomial and trinomial


(x) pqr


It contains one term


So, it is called monomial


(xi) p2q+pq2


It contains two terms


So, it is called binomial


(xii) 2p+2q


It contains two terms


So, it is called monomial


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