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) -5abc42. 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 + 5x2y2z24. 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
(ii) 2a11 – a2 + 9a
(iii) 13 + 5z + 10z2 – 17z3 + z4 – 5z5
(iv) –x - 1
(v) -3p3 – 3p2 + 5
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