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 + 3w3Analyze the 4 terms of the polynomial z12 - 81y9 + x9 + 3w3
Analyze Term 1
Term 1 is z12Since there is no coefficient
our coefficient is 1
Our variable is the letter which is z
Raise our variable to the power of 12
Analyze Term 2
Term 2 is -81y9Our coefficient/constant is -81
Our variable is the letter which is y
Raise our variable to the power of 9
Analyze Term 3
Term 3 is x9Since there is no coefficient
our coefficient is 1
Our variable is the letter which is x
Raise our variable to the power of 9
Analyze Term 4
Term 4 is 3w3Our coefficient/constant is 3
Our variable is the letter which is w
Raise our variable to the power of 3
Determine the Degree of the Polynomial:
Highest exponent for z = 12Highest exponent for y = 9
Highest exponent for x = 9
Highest exponent for w = 3
What is the Answer?
Since there is no coefficient
our coefficient is 1
Our variable is the letter which is z
Raise our variable to the power of 12
Our coefficient/constant is -81
Our variable is the letter which is y
Raise our variable to the power of 9
Since there is no coefficient
our coefficient is 1
Our variable is the letter which is x
Raise our variable to the power of 9
Our coefficient/constant is 3
Our variable is the letter which is w
Raise our variable to the power of 3
our coefficient is 1
Our variable is the letter which is z
Raise our variable to the power of 12
Our coefficient/constant is -81
Our variable is the letter which is y
Raise our variable to the power of 9
Since there is no coefficient
our coefficient is 1
Our variable is the letter which is x
Raise our variable to the power of 9
Our coefficient/constant is 3
Our variable is the letter which is w
Raise our variable to the power of 3
How does the Polynomial Calculator work?
Free Polynomial Calculator - This calculator will take an expression without division signs and combine like terms.
It will also analyze an polynomial that you enter to identify constant, variables, and exponents. It determines the degree as well.
This calculator has 1 input.
It will also analyze an polynomial that you enter to identify constant, variables, and exponents. It determines the degree as well.
This calculator has 1 input.
What 2 formulas are used for the Polynomial Calculator?
For cxn, we have c as our constant, x as our variable, n as our exponent.
Variables can be any letter but e or i.
For more math formulas, check out our Formula Dossier
Variables can be any letter but e or i.
For more math formulas, check out our Formula Dossier
What 6 concepts are covered in the Polynomial Calculator?
- constant
- a value that always assumes the same value independent of how its parameters are varied
- exponent
- The power to raise a number
- expression
- finite combination of symbols
- polynomial
- an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
- term
- a single number or variable, or numbers and variables multiplied together
- variable
- Alphabetic character representing a number
Example calculations for the Polynomial Calculator
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