# 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.

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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