## Enter Terms

Combine like terms for:

6a(3a2b2 - 7x4y5)

Simplify by removing parentheses
Simplify 6a(3a2b2 - 7x4y5):
Distribute the 6a to each term in (3a^2b^2-7x^4y^5)
6a * 3a2b2 = (6 * 3)a(1 + 2)b2 = 18a3b2
6a * -7x4y5 = (6 * -7)ax4y5 = -42ax4y5
Our Total expanded term is 18a3b2-42ax4y5

Our new term is
18a3b2 - 42ax4y5

##### Evaluate the a3 terms:

18a3  ← There is only one a3 term

##### Evaluate the b2 terms:

b2  ← There is only one b2 term

##### Evaluate the ax4 terms:

-42ax4  ← There is only one ax4 term

##### Evaluate the y5 terms:

y5  ← There is only one y5 term

##### Combine like terms

y5 - 42ax4 + 18a3 + b2

Analyze the 4 terms of the polynomial y5 - 42ax4 + 18a3 + b2

##### Analyze Term 1

Term 1 is y5

Since there is no coefficient
our coefficient is 1
Our variable piece is y
Raise our variable to the power of 5

##### Analyze Term 2

Term 2 is -42ax4

Our coefficient/constant is -42
Our variable piece is ax
Raise our variable to the power of 4

##### Analyze Term 3

Term 3 is 18a3

Our coefficient/constant is 18
Our variable piece is a
Raise our variable to the power of 3

##### Analyze Term 4

Term 4 is b2

Since there is no coefficient
our coefficient is 1
Our variable piece is b
Raise our variable to the power of 2

##### Determine the Degree of the Polynomial:

Highest exponent for y = 5

Highest exponent for ax = 4

Highest exponent for a = 3

Highest exponent for b = 2

Since there is no coefficient
our coefficient is 1
Our variable piece is y
Raise our variable to the power of 5
Our coefficient/constant is -42
Our variable piece is ax
Raise our variable to the power of 4
Our coefficient/constant is 18
Our variable piece is a
Raise our variable to the power of 3
Since there is no coefficient
our coefficient is 1
Our variable piece is b
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