Evaluate the x3 terms:
4x3 ← There is only one x3 term
Evaluate the x2 terms:
-9x2 ← There is only one x2 term
Evaluate the y terms:
7y ← There is only one y term
Evaluate the z terms:
-9z ← There is only one z term
Evaluate the w terms:
w ← There is only one w term
Evaluate the f terms:
-f ← There is only one f term
Evaluate the constants:
6 ← There is only one constantCombine like terms
4x3 - 9x2 + 7y - 9z + w - f + 6Analyze the 7 terms of the polynomial 4x3 - 9x2 + 7y - 9z + w - f + 6
Analyze Term 1
Term 1 is 4x3Our coefficient/constant is 4
Our variable is the letter which is x
Raise our variable to the power of 3
Analyze Term 2
Term 2 is -9x2Our coefficient/constant is -9
Our variable is the letter which is x
Raise our variable to the power of 2
Analyze Term 3
Term 3 is 7yOur coefficient/constant is 7
Our variable is the letter which is y
No exponent exists for this term
Analyze Term 4
Term 4 is -9zOur coefficient/constant is -9
Our variable is the letter which is z
No exponent exists for this term
Analyze Term 5
Term 5 is wSince there is no coefficient
our coefficient is 1
Our variable is the letter which is w
No exponent exists for this term
Analyze Term 6
Term 6 is -fSince our term starts with a minus sign
our coefficient is -1
Our variable is the letter which is f
No exponent exists for this term
Analyze Term 7
Term 7 is 6Our coefficient/constant is 6
This term has no variable, so it is a constant
No exponent exists for this term
Determine the Degree of the Polynomial:
Highest exponent for x = 3What is the Answer?
Our coefficient/constant is 4
Our variable is the letter which is x
Raise our variable to the power of 3
Our coefficient/constant is -9
Our variable is the letter which is x
Raise our variable to the power of 2
Our coefficient/constant is 7
Our variable is the letter which is y
No exponent exists for this term
Our coefficient/constant is -9
Our variable is the letter which is z
No exponent exists for this term
Since there is no coefficient
our coefficient is 1
Our variable is the letter which is w
No exponent exists for this term
Since our term starts with a minus sign
our coefficient is -1
Our variable is the letter which is f
No exponent exists for this term
Our coefficient/constant is 6
This term has no variable, so it is a constant
No exponent exists for this term
Our variable is the letter which is x
Raise our variable to the power of 3
Our coefficient/constant is -9
Our variable is the letter which is x
Raise our variable to the power of 2
Our coefficient/constant is 7
Our variable is the letter which is y
No exponent exists for this term
Our coefficient/constant is -9
Our variable is the letter which is z
No exponent exists for this term
Since there is no coefficient
our coefficient is 1
Our variable is the letter which is w
No exponent exists for this term
Since our term starts with a minus sign
our coefficient is -1
Our variable is the letter which is f
No exponent exists for this term
Our coefficient/constant is 6
This term has no variable, so it is a constant
No exponent exists for this term
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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