Combine like terms for:
2x3 - 4x2 - 22x + 24
Evaluate the x3 terms:
2x3 ← There is only one x3 term
Evaluate the x2 terms:
-4x2 ← There is only one x2 term
Evaluate the x terms:
-22x ← There is only one x term
Evaluate the constants:
24 ← There is only one constant
Combine like terms
2x3 - 4x2 - 22x + 24
Analyze the 4 terms of the polynomial 2x3 - 4x2 - 22x + 24
Analyze Term 1
Term 1 is 2x3
Our coefficient/constant is 2
Our variable piece is x
Raise our variable to the power of 3
Analyze Term 2
Term 2 is -4x2
Our coefficient/constant is -4
Our variable piece is x
Raise our variable to the power of 2
Analyze Term 3
Term 3 is -22x
Our coefficient/constant is -22
Our variable piece is x
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:
Highest exponent for x = 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 2
Our variable piece is x
Raise our variable to the power of 3
Our coefficient/constant is -4
Our variable piece is x
Raise our variable to the power of 2
Our coefficient/constant is -22
Our variable piece is x
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
Our variable piece is x
Raise our variable to the power of 3
Our coefficient/constant is -4
Our variable piece is x
Raise our variable to the power of 2
Our coefficient/constant is -22
Our variable piece is x
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.
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
