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Combine like terms for 2x2 + 3x - 4 - x2 + x + 3y - 9

Evaluate the x2 terms:
2x2 + - x2
(2 - 1)x2
1x2

Evaluate the x terms:
3x + x
(3 + 1)x
4x

Evaluate the y terms:
3y  ← There is only one y term

Evaluate the constants:
-4 + -9
-13

Combining all like terms, we get:
x2 + 3y + 4x - 13

Analyze the 4 terms of the polynomial x2 + 3y + 4x - 13

Analyze Term 1
Term 1 is x2
Since there is no coefficient before our variable, (term does not start with a number), our coefficient is 1
Our variable is the letter which is x
The exponent of our variable is the power that the variable is raised to which is 2
Analyze Term 2
Term 2 is 3y
Our coefficient is the number our term begins which is 3
Our variable is the letter which is y
No exponent exists for this term
Analyze Term 3
Term 3 is 4x
Our coefficient is the number our term begins which is 4
Our variable is the letter which is x
No exponent exists for this term
Analyze Term 4
Term 4 is -13
Our coefficient is the number our term begins which is -13
This term has no variable, so it is a constant
No exponent exists for this term
Determine the Degree of the Polynomial:
The degree of the polynomial (highest exponent) for the variable x = 2

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