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
Combine like terms
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
our coefficient is 1
Our variable piece is z
Raise our variable to the power of 12
Analyze Term 2
Term 2 is -81y9
Our coefficient/constant is -81
Our variable piece is y
Raise our variable to the power of 9
Analyze Term 3
Term 3 is x9
Since there is no coefficient
our coefficient is 1
Our variable piece is x
Raise our variable to the power of 9
Analyze Term 4
Term 4 is 3w3
Our coefficient/constant is 3
Our variable piece is w
Raise our variable to the power of 3
Determine the Degree of the Polynomial:
Highest exponent for z = 12
Highest exponent for y = 9
Highest exponent for x = 9
Highest exponent for w = 3
Common Core State Standards In This Lesson
What is the Answer?
our coefficient is 1
Our variable piece is z
Raise our variable to the power of 12
Our coefficient/constant is -81
Our variable piece is y
Raise our variable to the power of 9
Since there is no coefficient
our coefficient is 1
Our variable piece is x
Raise our variable to the power of 9
Our coefficient/constant is 3
Our variable piece is w
Raise our variable to the power of 3
How does the Polynomial Calculator work?
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?
Variables can be any letter but e or i.
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
