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NCERT Solutions Class 8 Mathematics Solutions for Exercise 9.1 in Chapter 9 - Algebraic Expressions and Identities
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Q2) Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories:
x+y,\ 1000,\ x+x^2+x^3+x^4,\ 7+y+5x,\ 2y-3y^2,\ 2y-3y^2+4y^3,5x-4y+3xy,4z-15z^2,ab+bc+cd+da,pqr,p^2q+pq^2
Solution:
(i) Since x+y contains two terms. Therefore it is binomial.
(ii) Since 1000 contains one term. Therefore it is monomial.
(iii) Since x+x^2+x_{ }^3+x^4 contains four terms. Therefore it is a polynomial and it does not fit in the above three categories.
(iv) Since 7+y+5x contains three terms. Therefore it is trinomial.
(v) Since 2y-3y^2 contains two terms. Therefore it is binomial.
(vi) Since 2y-3y^2+4y^3 contains three terms. Therefore it is trinomial.
(vii) Since 5x-4y+3xy contains three terms. Therefore it is trinomial.
(viii) Since 4x-15z^2 contains two terms. Therefore it is binomial.
(ix) Since ab+bc+cd+da contains four terms. Therefore it is a polynomial and it does not fit in above three categories.
(x) Since pqr contains one terms. Therefore it is monomial.
(xi) Since p^2q+pq^2 contains two terms. Therefore it is binomial.
(xii) Since 2p+2q contains two terms. Therefore it is binomial.
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