Question

"Question 4 Write the degree of each of the following polynomials:
(i) 5x^3 + 4x^2 + 7x
(ii) 4 - y^2
(iii) 5t - 7^(1/2)
(iv) 3

Class 9 - Math - Polynomials Page 32"

Answer 1

The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials.

Degree of polynomials in
(i) 3
(ii) 2
(iii) 1
(iv) 0

Answer 2

For a polynomial in one variable the highest power of the variable is called degree of a polynomial.

 

The degree of a non zero constant polynomial is zero.

 

The degree of zero polynomial is not defined.

 

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Solution:

i)

5x3 has highest power in the given polynomial which power is 3.

 

Therefore, degree of polynomial is 3.

 

ii)

4– y2  has highest power in the given polynomial which power is 2.

 

Therefore, degree of polynomial is 2.

 

iii)

5t-√7 has highest power in the given polynomial which power is 1.

 

Therefore, degree of polynomial is 1.

 

iv)

3, there  is no variable in the given polynomial.

Therefore, degree of polynomial is 0.

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Hope this will help you...