Classify the following algebraic expressions as monomials, binomials, trinomials or polynomials.
(i) $7 x$ (ii) $5 y - 7 z$ (iii) $3 x^{3} - 5 x^{2} - 11$ (iv) $1 - 8 a - 7 a^{2} - 7 a^{3}$
(v) $5 m - 3$ (vi) $a$ (vii) $4$
(viii) $3 y^{2} - 7 y + 5$

Open in App

Solution

We know that expressions with one term are called monomials, expressions with two terms are binomials, expressions with three terms are trinomials, and expressions with more than three terms are polynomials.
(i) $7 x =$ Monomial
(ii) $5 y - 7 z =$ Binomial
(iii) $3 x^{3} - 5 x^{2} - 11 =$ Trinomial
(iv) $1 - 8 a - 7 a^{2} - 7 a^{3} =$ Polynomial
(v) $5 m - 3 =$ Binomial
(vi) $4 =$ Monomial
(vii) $3 y^{2} - 7 y + 5 =$ Trinomial

Suggest Corrections

Similar questions

Classify the following polynomials as monomials, binomials, trinomials.

$(i) 4 x^{2}$

$(i i) 5 x y^{2} + 6 x y z$

$(i i i) 5 x y z$

$(i v) a + b + c$

$(v) 5 x^{2} + 6 x + 25$

$(v i) x + y$ [4 MARKS]

Question 5

Define monomials, binomials, and trinomials. Classify the following into monomials, binomials and trinomials:

$(i) 4 y - 7 x$
$(i i) y^{2}$
$(i i i) x + y - x y$
$(i v) 100$
$(v) a b - a - b$
$(v i) (5 - 3 t)$
$(v i i) 4 p^{2} q - 4 p q^{2}$
$(v i i i) 7 m n$
$(i x) z^{2} - 3 z + 8$
$(x) a^{2} + b^{2}$
$(x i) z^{2} + z$
$(x i i) 1 + x + x^{2}$