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.

Algebra ->  Polynomials-and-rational-expressions -> 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.       Log On


   

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(52866) About Me  (Show Source):
You can put this solution on YOUR website!
.

8 + 9 = 17.

Need more explanations ?


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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) About Me  (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.