SOLUTION: -14u^4 v^2 w^4 -6v+w^8 u^9 -7 Give the Degree of the Polynomial. I know the answer should be 17 but I keep getting 7 and I am not sure how I am getting this wrong.

Question 1204477: -14u^4 v^2 w^4 -6v+w^8 u^9 -7
Give the Degree of the Polynomial. I know the answer should be 17 but I keep getting 7 and I am not sure how I am getting this wrong.
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52872) (Show Source): You can put this solution on YOUR website!
.

8 + 9 = 17.

Need more explanations ?

////////////////////

In each addend, calculate the sum of exponents at variables.

Then take the greatest of these numbers (greatest sum).

It will be your answer.

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

The terms of the polynomial are
-14u^4 v^2 w^4
-6v
w^8 u^9
-7
For each term, add the exponents
-14u^4 v^2 w^4 ---> 4+2+4 = 10
-6v is the same as -6v^1 -------> the only exponent is 1
w^8 u^9 -------> 8+9 = 17
-7 is the same as -7x^0 ----------> the only exponent is 0
The largest exponent sum is the degree of this multivariable polynomial.

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