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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
● 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
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