Combine like terms for:

4x^{3} - 9x^{2} + 7y - 9z + w - f + 6

4x^{3} ← There is only one x^{3} term

-9x^{2} ← There is only one x^{2} term

7y ← There is only one y term

-9z ← There is only one z term

w ← There is only one w term

-f ← There is only one f term

6 ← There is only one constant

**4x ^{3} - 9x^{2} + 7y - 9z + w - f + 6**

Analyze the 7 terms of the polynomial 4x^{3} - 9x^{2} + 7y - 9z + w - f + 6

Term 1 is 4x^{3}

Our coefficient/constant is 4

Our variable piece is x

Raise our variable to the power of 3

Term 2 is -9x^{2}

Our coefficient/constant is -9

Our variable piece is x

Raise our variable to the power of 2

Term 3 is 7y

Our coefficient/constant is 7

Our variable piece is y

No exponent exists for this term

Term 4 is -9z

Our coefficient/constant is -9

Our variable piece is z

No exponent exists for this term

Term 5 is w

Since there is no coefficient

our coefficient is 1

Our variable piece is w

No exponent exists for this term

Term 6 is -f

Since our term starts with a minus sign

our coefficient is -1

Our variable piece is f

No exponent exists for this term

Term 7 is 6

Our coefficient/constant is 6

This term has no variable, so it is a constant

No exponent exists for this term

Highest exponent for x = 3

CCSS.MATH.CONTENT.6.EE.A.2.B,CCSS.MATH.CONTENT.7.EE.A.1,CCSS.MATH.CONTENT.6.EE.A.4

Our coefficient/constant is 4

Our variable piece is x

Raise our variable to the power of 3

Our coefficient/constant is -9

Our variable piece is x

Raise our variable to the power of 2

Our coefficient/constant is 7

Our variable piece is y

No exponent exists for this term

Our coefficient/constant is -9

Our variable piece is z

No exponent exists for this term

Since there is no coefficient

our coefficient is 1

Our variable piece is w

No exponent exists for this term

Since our term starts with a minus sign

our coefficient is -1

Our variable piece is f

No exponent exists for this term

Our coefficient/constant is 6

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 -9

Our variable piece is x

Raise our variable to the power of 2

Our coefficient/constant is 7

Our variable piece is y

No exponent exists for this term

Our coefficient/constant is -9

Our variable piece is z

No exponent exists for this term

Since there is no coefficient

our coefficient is 1

Our variable piece is w

No exponent exists for this term

Since our term starts with a minus sign

our coefficient is -1

Our variable piece is f

No exponent exists for this term

Our coefficient/constant is 6

This term has no variable, so it is a constant

No exponent exists for this term

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.

For cx^{n}, 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

Variables can be any letter but e or i.

For more math formulas, check out our Formula Dossier

- 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

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