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Combine like terms for:

4x2 + 9x + 3x2 - 6 + 9 - 8x

Evaluate the x2 terms:

4x2 + 3x2

(4 + 3)x2

7x2

Evaluate the x terms:

9x + - 8x

(9 - 8)x

1x

Evaluate the constants:

-6 + 9

3

Combine like terms

7x2 + x + 3

Analyze the 3 terms of the polynomial 7x2 + x + 3

Analyze Term 1

Term 1 is 7x2

Our coefficient/constant is 7
Our variable piece is x
Raise our variable to the power of 2


Analyze Term 2

Term 2 is x

Since there is no coefficient
our coefficient is 1
Our variable piece is x
No exponent exists for this term


Analyze Term 3

Term 3 is 3

Our coefficient/constant is 3
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 = 2

Keep Practicing
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 7
Our variable piece is x
Raise our variable to the power of 2
Since there is no coefficient
our coefficient is 1
Our variable piece is x
No exponent exists for this term
Our coefficient/constant is 3
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.

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.

For more math formulas, check out our Formula Dossier

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
Example calculations for the Polynomial Calculator
Polynomial Calculator Video

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