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 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?
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 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?
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.