Question

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

Answer 1

(i) Since x + y contains two terms. Therefore it is binomial.
(ii) Since 1000 contains one terms. Therefore it is monomial.
(iii) Since x + x2 + x3 + x4 contains four terms. Therefore it is a polynomial and it does not fit in above three categories.
(iv) Since 7 + y + 5x contains three terms. Therefore it is trinomial.
(v) Since 2y -3y2 contains two terms. Therefore it is binomial.
(vi) Since 2y -3y2 + 4y3 contains three terms. Therefore it is trinomial.
(vii) Since 5x - 4y + 3xy contains three terms. Therefore it is trinomial.
(viii) Since 4x -15z2 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 p2q + pq contains two terms. Therefore it is binomial.
(xii) Since 2 p + 2q contains two terms. Therefore it is binomial.