NCERT Class 9 Mathematics Solutions: Chapter 9 – Algebraic Expressions and Identities Exercise 9.1 Part 1

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Algebraic expressions and identities

Algebraic Expressions and Identities

Algebraic expressions and identities

Question: 1 Identify the terms, their coefficients for each of the following expression:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Answer:

(i) Term:

Coefficient of is 5 and

Coefficient of is 3

(ii) Term:

Coefficient of 1 is 1 and

Coefficient of x and coefficient of is 1

(iii) Term:

Coefficient of is 4,

Coefficient of is -4 and

Coefficient of is 1.

(iv) Terms: 3,-pq, qr and –rp

Coefficient of 3 is 3,

Coefficient of is

Coefficient of qr is 1 and

Coefficient of is

(v) Terms: and

Coefficient of is

Coefficient of is and

Coefficient of is

(vi) Terms: 0.3a, -0.6ab and 0.5b

Coefficient of 0.3a is 0.3,

Coefficient of is and

Coefficient of

Question: 2 Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories.

Answer:

(i) contains two terms. Therefore it is binomial.

(ii) 1000 contains one term. Therefore it is monomial.

(iii) contains four terms. Therefore it is a polynomial and it does not fit in above three categories.

(iv) contains three terms. Therefore it is trinomial.

(v) contains two terms. Therefore it is binomial

(vi) contains three terms. Therefore it is trinomial.

(vii) contains three terms. Therefore it is trinomial.

(viii) contains two terms. Therefore it is binomial.

(ix) contains four terms. Therefore it is a polynomial and it does not fit in above three categories.

(x) pqr contains one term, Therefore it is monomial.

(xi) contains two terms. Therefore it is binomial.

(xii) contains two terms. Therefore it is binomial.