Simplify by removing parentheses Simplify 3(x - 4): Distribute the 3 to each term in (x-4) 3 * x = (3 * 1)x = 3x 3 * -4 = (3 * -4) = -12 Our Total expanded term is 3x-12
Simplify -6y4(5 - 3y): Distribute the -6y4 to each term in (5-3y) -6y4 * 5 = (-6 * 5)y4 = -30y4 -6y4 * -3y = (-6 * -3)y(4 + 1) = 18y5 Our Total expanded term is -30y4 + 18y5
Our new term is 2x2 + 3x - 12 + 3y - 9*(x - 7) - 30y4 + 18y5
Evaluate the x2 terms:
2x2 ← There is only one x2 term
Evaluate the x terms:
3x + x
(3 + 1)x
4x
Evaluate the y terms:
3y ← There is only one y term
Evaluate the y4 terms:
-30y4 ← There is only one y4 term
Evaluate the y5 terms:
18y5 ← There is only one y5 term
Evaluate the constants:
-12 ← There is only one constant
Combine like terms
18y5 - 30y4 + 2x2 + 4x + 3y - 12
Analyze the 6 terms of the polynomial 18y5 - 30y4 + 2x2 + 4x + 3y - 12
Analyze Term 1
Term 1 is 18y5
Our coefficient/constant is 18 Our variable is the letter which is y Raise our variable to the power of 5
Analyze Term 2
Term 2 is -30y4
Our coefficient/constant is -30 Our variable is the letter which is y Raise our variable to the power of 4
Analyze Term 3
Term 3 is 2x2
Our coefficient/constant is 2 Our variable is the letter which is x Raise our variable to the power of 2
Analyze Term 4
Term 4 is 4x
Our coefficient/constant is 4 Our variable is the letter which is x No exponent exists for this term
Analyze Term 5
Term 5 is 3y
Our coefficient/constant is 3 Our variable is the letter which is y No exponent exists for this term
Analyze Term 6
Term 6 is -12
Our coefficient/constant is -12 This term has no variable, so it is a constant No exponent exists for this term
Determine the Degree of the Polynomial:
Highest exponent for y = 5
Highest exponent for x = 2
What is the Answer?
Our coefficient/constant is 18 Our variable is the letter which is y Raise our variable to the power of 5 Our coefficient/constant is -30 Our variable is the letter which is y Raise our variable to the power of 4 Our coefficient/constant is 2 Our variable is the letter which is x Raise our variable to the power of 2 Our coefficient/constant is 4 Our variable is the letter which is x No exponent exists for this term Our coefficient/constant is 3 Our variable is the letter which is y No exponent exists for this term Our coefficient/constant is -12 This term has no variable, so it is a constant No exponent exists for this term
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.