Enter Terms

Combine like terms for:

x + 6 + 7 + 8 + y + 9 + 10 + 12 + 3x + 20

x + 3x

(1 + 3)x

4x

Evaluate the y terms:

y  ← There is only one y term

Evaluate the constants:

6 + 7 + 8 + 9 + 10 + 12 + 20

72

Combine like terms

4x + y + 72

Analyze the 3 terms of the polynomial 4x + y + 72

Analyze Term 1

Term 1 is 4x

Our coefficient/constant is 4
Our variable is the letter which is x
No exponent exists for this term

Analyze Term 2

Term 2 is y

Since there is no coefficient
our coefficient is 1
Our variable is the letter which is y
No exponent exists for this term

Analyze Term 3

Term 3 is 72

Our coefficient/constant is 72
This term has no variable, so it is a constant
No exponent exists for this term

Determine the Degree of the Polynomial:

Our coefficient/constant is 4
Our variable is the letter which is x
No exponent exists for this term
Since there is no coefficient
our coefficient is 1
Our variable is the letter which is y
No exponent exists for this term
Our coefficient/constant is 72
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.

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

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