2. Polynomials
easy

Write the degree of each of the following polynomials :

$(i)$ $5 x^{3}+4 x^{2}+7 x$

$(ii)$ $4-y^{2}$

A

$2$, $2$

B

$3$, $3$

C

$3$, $2$

D

$2$, $3$

Solution

Degree of a polynomial is the highest power of the variable in the polynomial.

$(i)$ $5 x^{3}+4 x^{2}+7 x$

This is a polynomial in variable $x$ and the highest power of variable $x$ is $3 .$ Therefore, the degree of this polynomial is $3$ .

$(ii)$ $4-y^{2}$

This is a polynomial in variable $y$ and the highest power of variable $y$ is $2$ . Therefore, the degree of this polynomial is $2$ .

Standard 9
Mathematics

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