Question

Identify the monomials, binomials, trinomials and quadrinomials from the following expressions:
(i) a²
(ii) a² − b²
(iii) x³ + y³ + z³
(iv) x³ + y³ + z³ + 3xyz
(v) 7 + 5
(vi) abc + 1
(vii) 3x − 2 + 5
(viii) 2x − 3x + 4
(ix) xy + yz + zx
(x) ax³ + bc² + cx + d

Answer 1

The monomials, binomials, trinomials and quadrinomials are as follows.
(i) a² is a monomial expression as it contains one term only.
(ii) a² - b² is a binomial expression as it contains two terms.
(iii) x³ + y³ + z³ is a trinomial expression as it contains three terms.
(iv) x³ + y³ + z³ + xyz is a quadrinomial expression as it contains four terms.
(v) 7 + 5 = 12 is a monomial expression as it contains one term only.
(vi) abc +1 is a binomial expression as it contains two terms.
(vii) 3x - 2 + 5 = 3x + 3 is a binomial expression as it contains two terms.
(viii) 2x - 3y + 4 is a trinomial expression as it contains three terms.
(ix) xy + yz + zx is a trinomial expression as it contains three terms.
(x) ax³ +bx² +cx + d is a quadrinomial expression as it contains four terms.