# Evaluate 3w^3x^9-81y^9z^12

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Combine like terms for 3w3x9 - 81y9z12

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

Combining all like terms, we get:
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 before our variable, (term does not start with a number), our coefficient is 1
Our variable is the letter which is z
The exponent of our variable is the power that the variable is raised to which is 12
Analyze Term 2
Term 2 is -81y9
Our coefficient/constant is the number our term begins which is -81
Our variable is the letter which is y
The exponent of our variable is the power that the variable is raised to which is 9
Analyze Term 3
Term 3 is x9
Since there is no coefficient before our variable, (term does not start with a number), our coefficient is 1
Our variable is the letter which is x
The exponent of our variable is the power that the variable is raised to which is 9
Analyze Term 4
Term 4 is 3w3
Our coefficient/constant is the number our term begins which is 3
Our variable is the letter which is w
The exponent of our variable is the power that the variable is raised to which is 3
Determine the Degree of the Polynomial:
The degree of the polynomial (highest exponent) for the variable z = 12
The degree of the polynomial (highest exponent) for the variable y = 9
The degree of the polynomial (highest exponent) for the variable x = 9
The degree of the polynomial (highest exponent) for the variable w = 3