Exercise
3.3
1. Fill in the blanks.
(i) The degree
of the term a 3b2c 4 d2
is
(ii) Degree
of the constant term is
(iii) The coefficient of leading term
of the expression 3z 2 y +
2x − 3 is
2.
Say True or False.
(i) The degree
of m2n and mn2 are equal.
(ii) 7a
2b and −7ab2 are like terms.
(iii) The
degree of the expression −4x 2 yz is −4
.
(iv) Any integer can be the degree of
the expression.
3.
Find the degree of the following terms.
(i)
5x2
(ii)
−7ab
(iii)
12 pq2 r2
(iv)
−125
(v)
3z
4.
Find the degree of the following expressions.
(i) x3 – 1
(ii)
3x2+ 2x+1
(iii)
3t 4 − 5st 2 + 7s3t
2
(iv)
5 − 9 y + 15y2
− 6 y3
(v) u 5 + u4v + u3v 2 + u2 v 3 + uv4
5. Identify the like terms : 12x
3 y2z , − y3 x 2z,
4z 3 y2 x , 6x3 z
2 y, − 5y 3 x2z
Like terms are –y3x2z,
–5y3x2z
6.
Add and find the degree of the following expressions.
(i)
(9x + 3y) and (10x − 9 y)
9x+ 10x + 3y – 9y
19x – 6y
Degree of the expression is 1.
(ii)
(k3− 25k + 46) and + (23−2k2 + 21k )
k2 –2k2 –25k + 21k +46 + 23
–k2 – 4k + 69
Degree of the expression is 2.
(iii)
(
3m2n + 4 pq2 ) and
(5nm2 − 2q 2 p)
3m2n + 5nm2 + 4pq2 –2q2p
8m2n + 2pq2
Degree ofthe expression is 3.
7.
Simplify and find the degree of the following expressions.
(i)
10x 2 − 3xy + 9 y2
− ( 3x
2 − 6xy − 3y2
)
10x2 – 3xy + 9y2 – 3x2 + 6xy +
3y2
10x2 –3x2 –3xy + 6xy + 9y2 + 3y2
7x2 + 3xy + 12y2
Degree ofthe expression is 2.
(ii) 9a 4 − 6a3
− 6a
4 − 3a2 + 7a
3 + 5a2
9a4 – 6a4 – 6a3 + 7a3 –
3a2 + 5a2
3a4 + a3 + 2a2
Degree ofthe expression is 4.
(iii)
4x 2 − 3x – [8x
− ( 5x2
− 8)]
4x2 –3x–[8x– 5x2+8]
4x2 –3x –8x + 5x2 –8
4x2 + 5x2 –3x –8x –8
9x2 –11x – 8
Degree ofthe expression is 2.
Objective type questions
8.
3p 2 − 5pq + 2q2
+ 6 pq
− q
2 + pq is a
(i) Monomial
(ii) Binomial
(iii) Trinomial
(iv) Quadrinomial
Answer : (iii) Trinomial
9.
The degree of 6x7 − 7x3 + 4 is
(i) 7
(ii) 3
(iii) 6
(iv) 4
Answer : (i) 7
10.
If p(x) and q (x) are two expressions of degree 3, then
the degree of p(x) + q (x) is
(i) 6
(ii) 0
(iii) 3
(iv)
Undefined
Answer : (iii) 3
ANSWERS:
Exercise 3.3
1. (i) 11 (ii) 0 (iii)
3
2. (i) true (ii) false
(iii) false (iv) true
3. (i) 2 (ii) 2 (iii)
5 (iv) 0 (v) 1
4. (i) 3 (ii) 2 (iii)
5 (iv) 3 (v) 5
5. − y3 x2z and −5y3 x2z
6. (i) 19x − 6y ; 1 (ii) − k2 − 4k + 69 ; 2 (iii) 8m2n + 2 pq2 ; 3
7. (i) 7x2 + 3xy + 12 y2 ; 2
(ii) 3a4 + a3 + 2a2 ; 4 (iii) 9x2
− 11x − 8 ; 2
Objective type questions
8. (iii) trinomial
9. (i) 7
10. (iii) 3
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