Write the degree of each of the following polynomials-i 2 x -5ii 3-x-x2-6 x3iii 9iv 8 x4-36 x-5 x7v x9-x5-3 x10-8vi 2-3 x2

(i) The highest power of x is 1. So, the degree of the given polynomial is 1. (ii) nbsp;The highest power of x is 3. So, the degree of the given polynomial i ...

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Standard IX

Mathematics

Degree of the Polynomial

Write the deg...

Question

Write the degree of each of the following polynomials:
(i) $2 x - \sqrt{5}$
(ii) 3 − x + x²− 6x³
(iii) 9
(iv) 8x⁴ − 36x + 5x⁷
(v) x⁹ − x⁵ + 3x¹⁰ + 8
(vi) 2 − 3x²

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Solution

(i) The highest power of x is 1. So, the degree of the given polynomial is 1.

(ii) The highest power of x is 3. So, the degree of the given polynomial is 3.

(iii) Clearly, 9 is a constant polynomial of degree 0.

(iv) The highest power of x is 7. So, the degree of the given polynomial is 7.

(v) The highest power of x is 10. So, the degree of the given polynomial is 10.

(vi) The highest power of x is 2. So, the degree of the given polynomial is 2.

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Determine the degree of each of the following polynomials.

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Write the degree of each of the following polynomials: (i) 2x-5 (ii) 3 − x + x2− 6x3 (iii) 9 (iv) 8x4 − 36x + 5x7 (v) x9 − x5 + 3x10 + 8 (vi) 2 − 3x2

Write the degree of each of the following polynomials:
(i) $2 x - \sqrt{5}$
(ii) 3 − x + x²− 6x³
(iii) 9
(iv) 8x⁴ − 36x + 5x⁷
(v) x⁹ − x⁵ + 3x¹⁰ + 8
(vi) 2 − 3x²