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

Betsy Rhone

Betsy Rhone

Answered question

2021-12-15

Find the degree of the polynomial. 5x3y+4x4y23x3y2

Answer & Explanation

servidopolisxv

servidopolisxv

Beginner2021-12-16Added 27 answers

Step 1
Given,
5x3y+4x4y23x3y2
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,
5x3y - The sum of powers of this monomial is 3+1=4
4x4y2 - The sum of powers of this monomial is 1+2=3
3x3y2 - The sum of powers of this monomial is 3+2=5
Highest sum of powers =5
Therefore, degree of given polynomial=5
William Appel

William Appel

Beginner2021-12-17Added 44 answers

Factor 5x3y+4x4y23x3y2
4x4y23x3y2+5x3y
=x3y(4xy3y+5)
Answer:
5

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