# Write the degree of each of the following polynomials:(i) $5 x^{3}+4 x^{2}+7 x$(ii) $4-y^{2}$(iii) $5 t-\sqrt{7}$(iv) 3

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To do:

We have to write the degree of each of the given polynomials.

Solution:

Degree of a polynomial:

A polynomial\'s degree is the highest or the greatest power of a variable in a polynomial.

Therefore,

(i) In $5 x^{3}+4 x^{2}+7 x^1$, the term $5x^3$ has a variable of power $3$, the term $4x^2$ has a variable of power $2$ and the term $7x^1$ has a variable of power $1$.

Therefore, the degree of the given polynomial is $3$.

(ii) In $4-y^{2}$, the term $4$ has a variable of power $0$ and the term $-y^2$ has a variable of power $2$.

Therefore, the degree of the given polynomial is $2$.

(iii)    In $5 t-\sqrt{7}$, the term $5t^1$ has a variable of power $1$ and the term $-\sqrt7$ has a variable of power $0$.

Therefore, the degree of the given polynomial is $1$.

(iv) In $0=0\times x^0=0x^0$, the term $0x^0$ has a variable of power $0$.

Therefore, the degree of the given polynomial is $0$.

Updated on 10-Oct-2022 13:39:07