Question

xNH3 + yCuO ⇒ aCu + bN2 + cH2O..coefficient of x, y, a, c and b in the above reaction are: 
2,3,3,1,3
2,3,3,3,1
2,3,3,2,3
4,3,3,1,3​

Answer 1

Answer:

(i) 5xyz2 - 3zy (ii) 1+ x + x2 (iii) 4x2 y2 - 4x2 y2 z2

(iv) 3 - pq + qr - rp (v) x/2 + y/2 - xy (vi) 0.3a - 0.6ab + 0.5b

Answer:

(i) Terms: 5xyz2 and -3zy

Coefficient in 5xyz2 is 5 and in -3zy is -3.

(ii) Terms: 1, x and x2.

Coefficient of x and coefficient of x2 is 1.

(iii) Terms: 4x2 y2, -4 x2 y2 z2 and z2.

Coefficient in 4x2 y2 is 4, coefficient of -4 x2 y2 z2 is -4 and coefficient of z2 is 1.

(iv) Terms: 3, -pq, qr and -rp

Coefficient of –pq is -1, coefficient of qr is 1 and coefficient of –rp is -1.

(v) Terms: x/2, y/2 and and -xy

Coefficient of x/2 is 1/2, coefficient of y/2 is 1/2 and coefficient of –xy is -1.

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

Coefficient of 0.3a is 0.3, coefficient of -0.6ab is -0.6 and coefficient of 0.5b is 0.5.

Question 2:

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

x + y, 1000, x + x2 + x3 + x4, 7 + y + 5x, 2y – 3y2 , 2y - 3y + 4y, 5x – 4y + 3xy,

4z – 15z2, ab + bc + cd + da, pqr, p2 q + pq2, 2p + 2q

Answer:

(i) Since x + y contains two terms. Therefore it is binomial.

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

(iii) Since x + x2 + x3 + x4 contains four terms. Therefore it is a polynomial and it does not fit in

above three categories.

(iv) Since 7 + y + 5x contains three terms. Therefore it is trinomial.

(v) Since 2y – 3y2 contains two terms. Therefore it is binomial.

(vi) Since 2y – 3y2 + 4y3 contains three terms. Therefore it is trinomial.

(vii) Since 5x – 4y + 3xy contains three terms. Therefore it is trinomial.

(viii) Since 4x - 15z2 contains two terms. Therefore it is binomial.

(ix) Since ab + bc + cd + da contains four terms. Therefore it is a polynomial and it does not fit

in above three categories.

(x) Since pqr contains one terms. Therefore it is monomial.

(xi) Since p2 q + pq2 contains two terms. Therefore it is binomial.

(xii) Since 2p + 2q contains two terms. Therefore it is binomial.