Selina solutions

Selina solutions

Grade 6

Fundamental Concepts (Algebra) | Exercise 18(B)

Question 10

Q10) Write the degree of each of the following polynomials :

(i) x+x^2

(ii) 5x^2-7x+2

(iii) x^3-x^8+x^{10}

(iv) 1-100x^{20}

(v) 4+4x-4x^3

(vi) 8x^2y-3y^2+x^2y^5

(vii) 8z^3-8y^2z^3+7yz^5

(viii) 4y^2-3x^3+y^2x^7

Solution 10:

(i) 2

(ii) 2

(iii) 10

(iv) 20

(v) 3

(vi) 8x^2y-3y^2+x^2y^5

Sum of the powers of the term

8x^2y = 2 + 1 = 3

3y^2 = 2

x^2y^5 = 2 + 5 = 7

The degree of given polynomial = 7

(vii) 8z^3-8y^2z^3+7yz^5

Sum of the powers of the term

8z^2 = 2

8z^3y^2 = 2 + 3 = 5

7z^5y = 1 + 5 = 6

The degree of given polynomial = 6

(viii) 4y^2-3x^3+y^2x^7

Sum of the powers of the term

4y^2 = 2

3x^3 = 3

y^2x^7 = 2 + 7 = 9

The degree of given polynomial = 9

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Question 10

Q10) Write the degree of each of the following polynomials :

(i) x+x^2

(ii) 5x^2-7x+2

(iii) x^3-x^8+x^{10}

(iv) 1-100x^{20}

(v) 4+4x-4x^3

(vi) 8x^2y-3y^2+x^2y^5

(vii) 8z^3-8y^2z^3+7yz^5

(viii) 4y^2-3x^3+y^2x^7

Solution 10:

(i) 2

(ii) 2

(iii) 10

(iv) 20

(v) 3

(vi) 8x^2y-3y^2+x^2y^5

Sum of the powers of the term

8x^2y = 2 + 1 = 3

3y^2 = 2

x^2y^5 = 2 + 5 = 7

The degree of given polynomial = 7

(vii) 8z^3-8y^2z^3+7yz^5

Sum of the powers of the term

8z^2 = 2

8z^3y^2 = 2 + 3 = 5

7z^5y = 1 + 5 = 6

The degree of given polynomial = 6

(viii) 4y^2-3x^3+y^2x^7

Sum of the powers of the term

4y^2 = 2

3x^3 = 3

y^2x^7 = 2 + 7 = 9

The degree of given polynomial = 9

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subject-cta
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