Polynomial Calculator
A polynomial can be a monomial, binomial or trinomial also.
What is Polynomial Calculator?
'Cuemath's Polynomial Calculator' is an online tool that helps to calculate the addition, subtraction, multiplication, and division of two polynomials. Cuemath's online Polynomial Calculator helps you to calculate the addition, subtraction, multiplication, and division of two polynomials within a few seconds.
How to Use Polynomial Calculator?
Please follow the below steps to find the addition, subtraction, multiplication, and division of two polynomials:
 Step 1: Enter the polynomial 1 and polynomial 2 in the given input box.
 Step 2: Click on the "Calculate" button to find the addition, subtraction, multiplication, and division of two polynomials
 Step 3: Click on the "Reset" button to clear the fields and enter new polynomials.
How to Find Polynomial Calculator?
A polynomial is defined as a type of expression in which the exponents of all variables should be a whole number.
To add or subtract two polynomials, add or subtract the coefficients of variables having the same power
To multiply two polynomials, we have to carry out the multiplication process termbyterm.
To divide two polynomials, we have a longdivision method or synthetic division method for polynomials.
Let's look at the solved example to understand briefly.
Solved examples on the polynomial calculator

Example1:
Find the sum of two polynomials 1 + 3x^{2} and 2x^{2} + 5x^{4}
Solution:
= (1 + 3x^{2}) + (2x^{2} + 5x^{4})
= 1 + (3 + 2)x^{2} + 5x^{4} [First add the coefficients having the same power of x]
= 1 + 5x^{2} + 5x^{4}

Example2:
Find the difference of two polynomials 1 + 3x^{2} and 2x^{2} + 5x^{4}
Solution:
= (1 + 3x^{2})  (2x^{2} + 5x^{4})
= 1 + (3  2)x^{2} + 5x^{4} [First subtract the coefficients having the same power of x]
= 1 + x^{2} + 5x^{4}

Example3:
Find the product of 1+3y and 2y + y^{2}
Solution:
= (1 + 3y) (2y + y^{2})
= (1 × 2y) + (1 × y^{2}) + (3y × 2y) + (3y × y^{2})
= 2y + y^{2} + 6y^{2} + 3y^{3 }
= 2y + 7y^{2} + 3y^{3}
= y( 2 +7y + 3y^{2})

Example4:
Divide the polynomials x^{2} + 3y^{2 }and 3x^{2}y
Solution:
= x^{2} + 3y^{2 }/ 3x^{2}y
= (x^{2} / 3x^{2}y) + (3y^{2 }/ 3x^{2}y)
= (1 / 3y)+ (y / x^{2})
Similarly, you can use the calculator to find the addition, subtraction, multipliction, and division of the given polynomials:
 9x^{2} + 7 and 2y^{4} + x^{2}
 4x^{2} + 10y^{3} and 2y^{3} + x^{2}