Question

Write the degree of the following polynomial :

$x^{4}y-5^6+4xy-3x{y}^4$

Answer 1

Given the polynomial :

$x^{4}y-5^6+4xy-3x{y}^4$
Finding the degree of the polynomial :

Since, Degree of a polynomial is the greatest sum of powers of the variables in a term.

Terms	$x^{4}y$	$-5^6$	$4xy$	$-3x{y}^4$
Degree	$4+1=\mathbf{5}$ ( Maximum )	$0$ ( since it is a constant term , so degree is zero)	$1+1=2$	$1+4=\mathbf{5}$ ( Maximum )

So maximum degree among the terms of the given polynomial is $5$

Therefore, Degree of the polynomial ${\mathit{x}}^{\mathbf{4}}\mathit{y}\mathbf{}\mathbf{-}\mathbf{}{\mathbf{5}}^{\mathbf{6}}\mathbf{}\mathbf{+}\mathbf{}\mathbf{4}\mathit{x}\mathit{y}\mathbf{}\mathbf{-}\mathbf{}\mathbf{3}\mathit{x}{\mathit{y}}^{\mathbf{4}}$ is $\mathbf{5}$