Combine like terms for:
3x4 + 6x3 - 123x2 - 126x + 1080
3x4 ← There is only one x4 term
6x3 ← There is only one x3 term
-123x2 ← There is only one x2 term
-126x ← There is only one x term
1080 ← There is only one constant
3x4 + 6x3 - 123x2 - 126x + 1080
Analyze the 5 terms of the polynomial 3x4 + 6x3 - 123x2 - 126x + 1080
Term 1 is 3x4
Our coefficient/constant is 3
Our variable piece is x
Raise our variable to the power of 4
Term 2 is 6x3
Our coefficient/constant is 6
Our variable piece is x
Raise our variable to the power of 3
Term 3 is -123x2
Our coefficient/constant is -123
Our variable piece is x
Raise our variable to the power of 2
Term 4 is -126x
Our coefficient/constant is -126
Our variable piece is x
No exponent exists for this term
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
Highest exponent for x = 4