Enter Terms
Combine like terms for:
6a(3a2b2 - 7x4y5)
Simplify by removing parenthesesSimplify 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 is the letter which is y
Raise our variable to the power of 5
Analyze Term 2
Term 2 is -42a1
Our coefficient/constant is -42
Our variable is the letter which is a
Raise our variable to the power of 1
Analyze Term 3
Term 3 is 18a3
Our coefficient/constant is 18
Our variable is the letter which 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 is the letter which is b
Raise our variable to the power of 2
Determine the Degree of the Polynomial:
Highest exponent for y = 5
Highest exponent for a = 3
Highest exponent for b = 2
What is the Answer?
our coefficient is 1
Our variable is the letter which is y
Raise our variable to the power of 5
Our coefficient/constant is -42
Our variable is the letter which is a
Raise our variable to the power of 1
Our coefficient/constant is 18
Our variable is the letter which is a
Raise our variable to the power of 3
Since there is no coefficient
our coefficient is 1
Our variable is the letter which is b
Raise our variable to the power of 2
How does the Polynomial Calculator work?
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?
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
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