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.