Identify the monomials- binomials and trinomials in the following algebraic expressions-1 a2-2 a b-b22 x2 y2 z23 x2-94 a b2-2 a b-4 a b c5 45 x y z6 87 -p q8 7 k -619 3 x2-4 y-6 z

(1) a2 minus; 2ab + b2 As the given algebraic expression contains three terms, it is a trinomial. (2) x2y2z2 As the given algebraic expression contains only ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VI

Mathematics

Monomial

Identify the ...

Question

Identify the monomials, binomials and trinomials in the following algebraic expressions.

(1) a² − 2ab + b²
(2) x²y²z²
(3) x² − 9
(4) ab² − 2ab + 4abc
(5) 45xyz
(6) 8
(7) −pq
(8) 7k + 61
(9) 3x² + 4y +6z

Open in App

Solution

(1) a² − 2ab + b²
As the given algebraic expression contains three terms, it is a trinomial.

(2) x²y²z²
As the given algebraic expression contains only one term, it is a monomial.

(3) x² − 9
As the given algebraic expression contains two terms, it is a binomial.

(4) ab² − 2ab + 4abc
As the given algebraic expression contains three terms, it is a trinomial.

(5) 45xyz
As the given algebraic expression contains only one term, it is a monomial.

(6) 8
As the given algebraic expression contains only one term, it is a monomial.

(7) − pq
As the given algebraic expression contains only one term, it is a monomial.

(8) 7k + 61
As the given algebraic expression contains two terms, it a binomial.

(9) 3x² + 4y +6z
As the given algebraic expression contains three terms, it is a trinomial.

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. Separate monomials, binomials, trinomials and polynomials from the following algebraic expressions:

8 - 3 x, x y^{2}, 3 y^{2} - 5 y + 8, 9 x - 3 x^{2} + 15 x^{3} - 7, 3 x \times 5 y, 3 x \div 5 y, 2 y \div 7 + 3 x - 7, 4 - a x^{2} + b x + y

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) $3 y^{2} - 7 y + 5$

Q. Separate the monomials, binomials and trinomials from the following:

7 x y z, 9 - 4 y, 4 y^{2} - x z, x - 2 y + 3 z, 7 x + z^{2}, \frac{8 x}{y}, (\frac{8}{5}) x^{2} y^{2}, 4 + 5 y - 6 z

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}

Join BYJU'S Learning Program

Identify the monomials, binomials and trinomials in the following algebraic expressions. (1) a2 − 2ab + b2 (2) x2y2z2 (3) x2 − 9 (4) ab2 − 2ab + 4abc (5) 45xyz (6) 8 (7) −pq (8) 7k + 61 (9) 3x2 + 4y +6z

Identify the monomials, binomials and trinomials in the following algebraic expressions.

(1) a² − 2ab + b²
(2) x²y²z²
(3) x² − 9
(4) ab² − 2ab + 4abc
(5) 45xyz
(6) 8
(7) −pq
(8) 7k + 61
(9) 3x² + 4y +6z