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Combine like terms for:

(2a2b3c4 - 6x3y4z5 + 7l7m8n9)5

Simplify by removing parentheses
Remove the parentheses since no simplification is required
2a2b3c4 - 6x3y4z5 + 7l7m8n95

Evaluate the a2 terms:

2a2  ← There is only one a2 term

Evaluate the b3 terms:

b3  ← There is only one b3 term

Evaluate the c4 terms:

c4  ← There is only one c4 term

Evaluate the x3 terms:

-6x3  ← There is only one x3 term

Evaluate the y4 terms:

y4  ← There is only one y4 term

Evaluate the z5 terms:

z5  ← There is only one z5 term

Evaluate the l7 terms:

7l7  ← There is only one l7 term

Evaluate the m8 terms:

m8  ← There is only one m8 term

Evaluate the n9 terms:

n9  ← There is only one n9 term

Combine like terms

n9 + m8 + 7l7 + z5 + c4 + y4 + b3 - 6x3 + 2a2

Analyze the 9 terms of the polynomial n9 + m8 + 7l7 + z5 + c4 + y4 + b3 - 6x3 + 2a2

Analyze Term 1

Term 1 is n9

Since there is no coefficient
our coefficient is 1
Our variable is the letter which is n
Raise our variable to the power of 9


Analyze Term 2

Term 2 is m8

Since there is no coefficient
our coefficient is 1
Our variable is the letter which is m
Raise our variable to the power of 8


Analyze Term 3

Term 3 is 7l7

Our coefficient/constant is 7
Our variable is the letter which is l
Raise our variable to the power of 7


Analyze Term 4

Term 4 is z5

Since there is no coefficient
our coefficient is 1
Our variable is the letter which is z
Raise our variable to the power of 5


Analyze Term 5

Term 5 is c4

Since there is no coefficient
our coefficient is 1
Our variable is the letter which is c
Raise our variable to the power of 4


Analyze Term 6

Term 6 is y4

Since there is no coefficient
our coefficient is 1
Our variable is the letter which is y
Raise our variable to the power of 4


Analyze Term 7

Term 7 is b3

Since there is no coefficient
our coefficient is 1
Our variable is the letter which is b
Raise our variable to the power of 3


Analyze Term 8

Term 8 is -6x3

Our coefficient/constant is -6
Our variable is the letter which is x
Raise our variable to the power of 3


Analyze Term 9

Term 9 is 2a2

Our coefficient/constant is 2
Our variable is the letter which is a
Raise our variable to the power of 2


Determine the Degree of the Polynomial:

Highest exponent for n = 9

Highest exponent for m = 8

Highest exponent for l = 7

Highest exponent for z = 5

Highest exponent for c = 4

Highest exponent for y = 4

Highest exponent for b = 3

Highest exponent for x = 3

Highest exponent for a = 2


What is the Answer?
Since there is no coefficient
our coefficient is 1
Our variable is the letter which is n
Raise our variable to the power of 9
Since there is no coefficient
our coefficient is 1
Our variable is the letter which is m
Raise our variable to the power of 8
Our coefficient/constant is 7
Our variable is the letter which is l
Raise our variable to the power of 7
Since there is no coefficient
our coefficient is 1
Our variable is the letter which is z
Raise our variable to the power of 5
Since there is no coefficient
our coefficient is 1
Our variable is the letter which is c
Raise our variable to the power of 4
Since there is no coefficient
our coefficient is 1
Our variable is the letter which is y
Raise our variable to the power of 4
Since there is no coefficient
our coefficient is 1
Our variable is the letter which is b
Raise our variable to the power of 3
Our coefficient/constant is -6
Our variable is the letter which is x
Raise our variable to the power of 3
Our coefficient/constant is 2
Our variable is the letter which is a
Raise our variable to the power of 2
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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