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1. Question 1.
Identify the terms, their co-efficients for each of the following expressions.
(i) 7x2
yz – 5xy
(ii) x2
+ x + 1
(iii)3x2
y2
– 5x2
y2
+ z2
+ z2
(iv) 9 – ab + be-ca
(v) (frac { a }{ 2 } +frac { b }{ 2 })-ab
(vi)2x – 0.3xy + 0.5y
Solution:
(i) Co-efficient of 7x2
yz = 7
co-efficient of -5xy = -5
(ii) Co-efficient of x1
= 1
co-efficient of x = 1
co-efficient of 1 = 1
(iii) Co-efficient of 3x2
_y2
= 3
co-efficient of -5x2
y2
z2
= -5
co-efficient of z2
– 1
(iv) Co-efficient of 9 = 9
co-efficient of -ab = -1
co-efficient of be = 1
co-efficient of -ca = -1
(v) Co-efficient of (frac { a }{ 2 } =frac { 1 }{ 2 })
Co-efficient of (frac { b }{ 2 } =frac { 1 }{ 2 })
co-efficient of -ab = -1
(vi) co-efficient of 0.2x = 0.2
co-efficient of-0.3xy = -0.3
co-efficient of 0.5y = 0.5
Question 2.
Classify the following polynomials as monomials, binomials, trinomials. Which
polynomials do not fit in any category ?
(i) x+y
(ii) 1000
(iii) x + x2
+ x3
+ x4
(iv) 7 + a + 5b
(v) 2b – 3 b2
(vi) 2y – 3y2
+4y3
(vii) 5x – 4y + 3x
(viii) 4a – 15a2
(ix) xy+yz + zt + tx
(x) pqr
(xi) p2
q + pq2
(xii) 2p + 2 q
Solution:
Monomials are (ii), (x)
Binomials are (i), (v), (viii), (xi), (xii)
Trinomials are (iv), (vi) and (vii)
None of these are (iii) and (ix)