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#### EXERCISE 6.1 PAGE NO: 6.2

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

**(i) 7x ^{2}yz – 5xy**

**(ii) x ^{2} + x + 1**

**(iii) 3x ^{2}y^{2} – 5x^{2}y^{2}z^{2} + z^{2}**

**(iv) 9 – ab + bc – ca**

**(v) a/2 + b/2 – ab**

**(vi) 0.2x – 0.3xy + 0.5y**

**Solution:(i) **7x

^{2}yz – 5xy

The given equation has two terms that are:

7x^{2}yz and – 5xy

The coefficient of 7x^{2}yz is 7

The coefficient of – 5xy is – 5

**(ii) **x^{2} + x + 1

The given equation has three terms that are:

x^{2}, x, 1

The coefficient of x^{2} is 1

The coefficient of x is 1

The coefficient of 1 is 1

**(iii) **3x^{2}y^{2} – 5x^{2}y^{2}z^{2} + z^{2}

The given equation has three terms that are:

3x^{2}y, -5x^{2}y^{2}z^{2} and z^{2}

The coefficient of 3x^{2}y is 3

The coefficient of -5x^{2}y^{2}z^{2} is -5

The coefficient of z^{2} is 1

**(iv) **9 – ab + bc – ca

The given equation has four terms that are:

9, -ab, bc, -ca

The coefficient of 9 is 9

The coefficient of -ab is -1

The coefficient of bc is 1

The coefficient of -ca is -1

**(v) **a/2 + b/2 – ab

The given equation has three terms that are:

a/2, b/2, -ab

The coefficient of a/2 is 1/2

The coefficient of b/2 is 1/2

The coefficient of -ab is -1

**(vi) **0.2x – 0.3xy + 0.5y

The given equation has three terms that are:

0.2x, -0.3xy, 0.5y

The coefficient of 0.2x is 0.2

The coefficient of -0.3xy is -0.3

The coefficient of 0.5y is 0.5

**2. Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category?**

**(i) x+y(ii) 1000(iii) x+x**

^{2}+x

^{3}+x

^{4}(iv) 7+a+5b(v) 2b-3b

^{2}(vi) 2y-3y

^{2}+4y

^{3}(vii) 5x-4y+3x(viii) 4a-15a

^{2}(ix) xy+yz+zt+tx(x) pqr(xi) p

^{2}q+pq

^{2}(xii) 2p+2q

**Solution:**

**(i)** x+y

The given expression contains two terms x and y

∴ It is Binomial

**(ii)** 1000

The given expression contains one term 1000

∴ It is Monomial

**(iii)** x+x^{2}+x^{3}+x^{4}

The given expression contains four terms

∴ It belongs to none of the categories

**(iv)** 7+a+5b

The given expression contains three terms

∴ It is Trinomial

**(v)** 2b-3b^{2}

The given expression contains two terms

∴ It is Binomial

**(vi)** 2y-3y^{2}+4y^{3}

The given expression contains three terms

∴ It is Trinomial

**(vii)** 5x-4y+3x

The given expression contains three terms

∴ It is Trinomial

**(viii)** 4a-15a^{2}

The given expression contains two terms

∴ It is Binomial

**(ix)** xy + yz + zt + tx

The given expression contains four terms

∴ It belongs to none of the categories

**(x)** pqr

The given expression contains one term

∴ It is Monomial

**(xi)** p^{2}q+pq^{2}

The given expression contains two terms

∴ It is Binomial

**(xii)** 2p+2q

The given expression contains two terms

∴ It is Binomial

**All Chapter RD Sharma Solutions For Class 8 Maths**

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