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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

Answer:

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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