Enter Terms
Combine like terms for:
3xy%5E3(9x%5E3y%5E2 - 8)
Simplify by removing parenthesesSimplify 3(9x%5E3y%5E2 - 8):
Distribute the 3 to each term in (9x%5E3y%5E2-8)
3 * 9x%5E3y%5E2 = (3 * 9) = 27xy
3 * -8 = (3 * -8) = -24
Our Total expanded term is 27xy-24
Our new term is
3xy%5E27xy - 24
Evaluate the xy terms:
3xy ← There is only one xy term
Evaluate the x terms:
27x ← There is only one x term
Evaluate the y terms:
y ← There is only one y term
Evaluate the constants:
-24 ← There is only one constant
Combine like terms
3xy + 27 + 1 - 24
Analyze the 4 terms of the polynomial 3xy + 27 + 1 - 24
Analyze Term 1
Term 1 is 3x
Our coefficient/constant is 3
Our variable is the letter which is x
No exponent exists for this term
Analyze Term 2
Term 2 is 27
Our coefficient/constant is 27
This term has no variable, so it is a constant
No exponent exists for this term
Analyze Term 3
Term 3 is
Since there is no coefficient
our coefficient is 1
This term has no variable, so it is a constant
No exponent exists for this term
Analyze Term 4
Term 4 is -24
Our coefficient/constant is -24
This term has no variable, so it is a constant
No exponent exists for this term
Determine the Degree of the Polynomial:
What is the Answer?
Our coefficient/constant is 3
Our variable is the letter which is x
No exponent exists for this term
Our coefficient/constant is 27
This term has no variable, so it is a constant
No exponent exists for this term
Since there is no coefficient
our coefficient is 1
This term has no variable, so it is a constant
No exponent exists for this term
Our coefficient/constant is -24
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
