Combine like terms for:
0.3t3 - 5t2 + 21t
Evaluate the t3 terms:
0.3t3 ← There is only one t3 term
Evaluate the t2 terms:
-5t2 ← There is only one t2 term
Evaluate the t terms:
21t ← There is only one t term
Combine like terms
0.3t3 - 5t2 + 21t
Analyze the 3 terms of the polynomial 0.3t3 - 5t2 + 21t
Analyze Term 1
Term 1 is 0.3t3
Our coefficient/constant is 0.3
Our variable piece is t
Raise our variable to the power of 3
Analyze Term 2
Term 2 is -5t2
Our coefficient/constant is -5
Our variable piece is t
Raise our variable to the power of 2
Analyze Term 3
Term 3 is 21t
Our coefficient/constant is 21
Our variable piece is t
No exponent exists for this term
Determine the Degree of the Polynomial:
Highest exponent for t = 3
Common Core State Standards In This Lesson
CCSS.MATH.CONTENT.6.EE.A.2.B,CCSS.MATH.CONTENT.7.EE.A.1,CCSS.MATH.CONTENT.6.EE.A.4
What is the Answer?
Our coefficient/constant is 0.3
Our variable piece is t
Raise our variable to the power of 3
Our coefficient/constant is -5
Our variable piece is t
Raise our variable to the power of 2
Our coefficient/constant is 21
Our variable piece is t
No exponent exists for this term
Our variable piece is t
Raise our variable to the power of 3
Our coefficient/constant is -5
Our variable piece is t
Raise our variable to the power of 2
Our coefficient/constant is 21
Our variable piece is t
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.
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
