l Evaluate 3w^3*x^9-81y^9*z^12
Enter Terms

Combine like terms for:

3w3*x9 - 81y9*z12

Evaluate the w3 terms:

3w3  ← There is only one w3 term

Evaluate the x9 terms:

x9  ← There is only one x9 term

Evaluate the y9 terms:

-81y9  ← There is only one y9 term

Evaluate the z12 terms:

z12  ← There is only one z12 term

Combine like terms

z12 - 81y9 + x9 + 3w3

Analyze the 4 terms of the polynomial z12 - 81y9 + x9 + 3w3

Analyze Term 1

Term 1 is z12

Since there is no coefficient
our coefficient is 1
Our variable piece is z
Raise our variable to the power of 12


Analyze Term 2

Term 2 is -81y9

Our coefficient/constant is -81
Our variable piece is y
Raise our variable to the power of 9


Analyze Term 3

Term 3 is x9

Since there is no coefficient
our coefficient is 1
Our variable piece is x
Raise our variable to the power of 9


Analyze Term 4

Term 4 is 3w3

Our coefficient/constant is 3
Our variable piece is w
Raise our variable to the power of 3


Determine the Degree of the Polynomial:

Highest exponent for z = 12

Highest exponent for y = 9

Highest exponent for x = 9

Highest exponent for w = 3