# Find the degree of the polynomial. 5x^{3}y+4x4y^{2}-3x^{3}y^{2}

Betsy Rhone 2021-12-15 Answered
Find the degree of the polynomial. $5{x}^{3}y+4x4{y}^{2}-3{x}^{3}{y}^{2}$
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servidopolisxv
Step 1
Given,
$5{x}^{3}y+4x4{y}^{2}-3{x}^{3}{y}^{2}$
Step 2
The degree of polynomial is the highest sum of powers of any one monomial of the polynomial expression.
In the given polynomial,
Monomial terms are,
$5{x}^{3}y$ - The sum of powers of this monomial is 3+1=4
$4{x}^{4}{y}^{2}$ - The sum of powers of this monomial is 1+2=3
$3{x}^{3}{y}^{2}$ - The sum of powers of this monomial is 3+2=5
Highest sum of powers =5
Therefore, degree of given polynomial=5

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William Appel
Factor $5{x}^{3}y+4{x}^{4}{y}^{2}-3{x}^{3}{y}^{2}$
$4{x}^{4}{y}^{2}-3{x}^{3}{y}^{2}+5{x}^{3}y$
$={x}^{3}y\left(4xy-3y+5\right)$
5

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