Classify into monomials, binomials and trinomials.
$1 + x + x^{2}$

Open in App

Solution

Classification of algebraic expression.
Monomials: An algebraic expression that contains only one term is called a monomial.
Binomial: An algebraic expression that contains two unlike terms is called a binomial.
Trinomials: An algebraic expression that contains three unlike terms is called a trinomial.
The given expression is, $1 + x + x^{2}$
It is observed that in the given expression there are three, unlike terms.
Hence, the given expression is trinomials.

Suggest Corrections

Similar questions

Classify the following into monomial, binomial and trinomials.

(1) a² + a − 2

(2) x² + 2y²

(3) 3x² + 4y + 5z

(4) ax² + bx + c

(5) x − 5

(6) 8mn³

(7) a² − b

(8)

(9) 7k + l

(10) 12ab

Q. Define monomials, binomials, and trinomials. Classify the following into monomials, binomials and trinomials: [4 MARKS]

(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}

Q. Classify into monomials, binomials and trinomials: 5x− 11z, 2x+ 3y− 4z, 11ab,m²+mn, 4 +x+x²y, 18xyz

Classify the given expression into monomial, binomial and trinomial-

$1 - 2 a + 3 a b c$

Question 5

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

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

Join BYJU'S Learning Program

Classify into monomials, binomials and trinomials.1+x+x2

Classify into monomials, binomials and trinomials.
$1 + x + x^{2}$