Worksheet on Degree of a Polynomial

Practice the question s given in the worksheet on degree of a polynomial (monomial, binomial, or trinomial). The questions are based on finding the degree of a monomial, binomial, or trinomial.

1. Find the degree of a monomial:

(i) 7xyz

(ii) -5abc⁴

2. Find the degree of a binomial:

(i) -11x² + 3xyz

(ii) 5p²q + 3pq³r

3. Find the degree of a trinomial:

(i) a + b + c

(ii) –yz² – y³z² + 5x²y²z²

4. For each of the following polynomials write down its degree:

(i) 1 + 3z

(ii) 1 + 3m + 5m²

(iii) 4u + 5u³ + 17u⁵ + 7

(iv) a⁹ + 4a³ + 7a² + 10

(v) -11p + 7

(vi) m⁶ + m⁹

5. State the degree of the polynomials:

(i) 2a² + 3a² + 4a

(ii) 5a³b – 7a² + 11b²

(iii) (2/7)xy² – (7/2)x²y + y

(iv) (5m²n)/6 – 9m²

(v) 4a³ – 4a² + 5a - 6

(vi) 10²n + 5mn² + 1

6. Find the degree of the polynomials:

(i) a + a²

(ii) 2b² – 5b + 2

(iii) -9ab + 11b

(iv) p³ + p⁸ – p¹⁰

(v) 1 – 100c²⁰

(vi) 10 + 17k – 23k³

7. Form a binomial, trinomial or polynomial for the following descriptions:

(i) write a binomial in ‘m’ with a degree of 7

(ii) write a trinomial in ‘a’ with a degree of 11

(iii) write a polynomial in ‘z’ with a degree of 5

(iv) write a binomial in ‘x’ with a degree of 1

(v) write a trinomial in ‘p’ with a degree of 3

Answers for the worksheet on degree of a polynomial are given below to check the exact answers of the above questions.

Answers:

1. (i) 3

(ii) 6

2. (i) 3

(ii) 5

3. (i) 1

(ii) 6

4. (i) 1

(ii) 2

(iii) 5

(iv) 9

(v) 1

(vi) 9

5. (i) 2

(ii) 4

(iii) 3

(iv) 3

(v) 3

(vi) 3

6. (i) 2

(ii) 2

(iii) 2

(iv) 10

(v) 20

(vi) 3

7. (i) -5m⁷ + 11

(ii) 2a¹¹ – a² + 9a

(iii) 13 + 5z + 10z² – 17z³ + z⁴ – 5z⁵

(iv) –x - 1

(v) -3p³ – 3p² + 5

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