Question

Write the degrees of each of the following polynomials:
(i) 7x³+4x²-3x+12
(ii) 12 -x+2x³
(iii) 5y-√2
(iv) 7
(v) 0

Answer 1

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

Solution :  

(i) Degree of the polynomial 7x³ + 4x² - 3x + 12 is 3.

(ii) Degree of the polynomial 12 - x + 2x³ is 3.

(iii) Degree of the polynomial 5y - √2 is 1.

(iv) Degree of the polynomial 7 is 0.

[The degree of a non zero constant polynomial is zero.]

 

(v) Degree of the polynomial 0 is undefined.

[The degree of zero polynomial is not defined.]

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Answer 2

$\huge \fcolorbox{red}{pink}{Solution :)}$

We know that ,

The highest power of the variable in a polynomial is called degree of the polynomial

Thus ,

i) The degree of the polynomial is 3

ii) The degree of the polynomial is 3

iii) The degree of the polynomial is1

iv) The degree of the polynomial is 0

v) The degree of the polynomial is undefined

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