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Identify the terms, their coefficients for each of the following expressions.

(i)xyz

(ii)1 - x -2x

(iii)4p

(iv)4 - xy + yz - xz

(v) (x/4) - (y/5) -y

(vi)1.3a - 2.6ab + 1.5b

Solution

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?

(a)x

(b)1000-x

(c)x + x

(d)8 - y -5x

(e) 2y -3y

(f) 2y - 3y+ 4y

(g) 5x -8y + 3xy

(h) 4 -15z

(i) ab + bc + cd + da+ 2ab

(j) pqr+2pq+5pqr

(k) p

(l) 2p + 2q+1

Solution

Add the following.

(i) ab - bc+ ac, bc - ca+ ab, ca - ab-2bc

(ii)p - q + pq, q - r + qr, r - p + pr , p+q+r

(iii)2p

(iv)a

Solution

(a) Subtract 8a - 7ab + 3b - 20 from 20a - 9ab + 5b - 20

(b) Subtract 3pq + 5qr - 7pr+1 from -4pq +2qr - 2pr + 5pqr+1

(c) Subtract 4p

from 18 - 3p - 11q + 5pq - 2pq

Solution

What are the coefficient of each term in the below expression?

4p

(a)4,4,-1,5

(b)4,4,1,5

(c) 4,4r

(d) None of these

Solution

The product of a monomial and trinomial will be a

(a)monomial

(b)trinomial

(c)binomial

(d) None of these

Solution

The exponents of a variable term in the polynomial is a

(a) integers

(b)negative integers

(c) positive integers

(d) non -negative integers

Solution

The expression pqr +rqp+qpr is a

(a) Monomial

(b)trinomial

(c) binomial

(d) none of these

Solution

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**Notes****Worksheets**-
**Ncert Solutions**- Algebraic Expressions and Identities NCERT solutions Exercise 9.1
- Algebraic Expressions and Identities NCERT solutions Exercise 9.2
- Algebraic Expressions and Identities NCERT solutions Exercise 9.3
- Algebraic Expressions and Identities NCERT solutions Exercise 9.4
- Algebraic Expressions and Identities NCERT solutions Exercise 9.5

Class 8 Maths Class 8 Science