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

`

● Terms of an Algebraic Expression - Worksheet

Worksheet on Types of Algebraic Expressions

Worksheet on Degree of a Polynomial

Worksheet on Addition of Polynomials

Worksheet on Subtraction of Polynomials

Worksheet on Addition and Subtraction of Polynomials

Worksheet on Adding and Subtracting Polynomials

Worksheet on Multiplying Monomials

Worksheet on Multiplying Monomial and Binomial

Worksheet on Multiplying Monomial and Polynomial

Worksheet on Multiplying Binomials

Worksheet on Dividing Monomials

6th Grade Math Practice

Math Home Work Sheets

From Worksheet on Degree of a Polynomial to HOME PAGE