Enter Terms

Combine like terms for:

3x4 + 6x3 - 123x2 - 126x + 1080

Evaluate the x4 terms:

3x4  ← There is only one x4 term

Evaluate the x3 terms:

6x3  ← There is only one x3 term

Evaluate the x2 terms:

-123x2  ← There is only one x2 term

Evaluate the x terms:

-126x  ← There is only one x term

Evaluate the constants:

1080  ← There is only one constant

Combine like terms

3x4 + 6x3 - 123x2 - 126x + 1080

Analyze the 5 terms of the polynomial 3x4 + 6x3 - 123x2 - 126x + 1080

Analyze Term 1

Term 1 is 3x4

Our coefficient/constant is 3
Our variable piece is x
Raise our variable to the power of 4


Analyze Term 2

Term 2 is 6x3

Our coefficient/constant is 6
Our variable piece is x
Raise our variable to the power of 3


Analyze Term 3

Term 3 is -123x2

Our coefficient/constant is -123
Our variable piece is x
Raise our variable to the power of 2


Analyze Term 4

Term 4 is -126x

Our coefficient/constant is -126
Our variable piece is x
No exponent exists for this term


Analyze Term 5

Term 5 is 1080

Our coefficient/constant is 1080
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 = 4