SOLUTION: find the degree of the polynomial w^3x^4 +3+3x^2 u^3 w-2u^6

Question 1204145: find the degree of the polynomial
w^3x^4 +3+3x^2 u^3 w-2u^6
Found 2 solutions by MathLover1, math_tutor2020:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

the degree of the polynomial:

highest-degree term:
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

If the polynomial has a single variable, then the degree is the largest exponent.

Example: degree of x^3+x^6-12 is 6

If the polynomial has more than one variable, then we add the exponents for each monomial term and look for the largest sum to get the degree.

In the case of w^3x^4 +3+3x^2 u^3 w-2u^6, we have these terms:
w^3x^4
3
3x^2u^3w
-2u^6

The first term has the exponents sum to 3+4 = 7
The second term has the exponents sum to zero. Think of 3 as 3x^0
The third term has its exponents add to 2+3+1 = 6
The fourth term has an exponent sum of 6

We see that the first monomial has the largest exponent sum.
Therefore the degree of w^3x^4+3+3x^2u^3w-2u^6 is 7.

RELATED QUESTIONS
Give the degree of the polynomial. 2u^8 -10v^2 uv^4 -6 -w^2... (answered by ikleyn)
use the properties of determinants to find the value of each determinant if it is known... (answered by richwmiller)
what the complete factored form of the polynomial... (answered by checkley77)
Find the degree of the polynomial 3x^2 + 2x + 3 (answered by Fombitz)
(-6+w+3x)(-3) (answered by algebrahouse.com)
If (w^4 v^5)/(u^3) is greater than 0, which of the following does not have to be... (answered by greenestamps)
Choose the correct classification of 3x^4 − 9x^3 − 3x^2 + 6. A: 5th degree... (answered by jim_thompson5910)
Find the degree of the polynomial function 3x-x^4 =3/2 (answered by robertb)
Each of angles b/t the vectors u,v,& w is 60. ||u||= 4. . ||v||=2 & ||w||=6 Then find... (answered by robertb)