Adding and Subtracting Polynomials Calculator

'Cuemath's Adding and Subtracting Polynomials Calculator' is an online tool that helps to calculate the sum and difference of two polynomials. 

What is Adding and Subtracting Polynomials Calculator?

Cuemath's online Adding and Subtracting Polynomials Calculator helps you to calculate the sum and difference of two polynomials within a few seconds.

How to Use Adding and Subtracting Polynomials Calculator?

Please follow the below steps to find the sum and difference 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 sum and difference of two polynomials.
• Step 3: Click on the "Reset" button to clear the fields and find the sum and difference of two different polynomials.

How to Find Adding and Subtracting Polynomials?

"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

Let's look at the solved example to understand briefly.

Solved Example:

Find the sum and difference of 1 + 3x² and 2x² + 5x⁴

Solution:  

Addition:

= (1 + 3x²) + (2x² + 5x⁴)

= 1 + (3 + 2)x² + 5x⁴    [First add the coefficients having the same power of x]

= 1 + 5x² + 5x⁴

Therefore, the sum of two polynomials is 1 + 5x² + 5x⁴.

Subtraction:

= (1 + 3x²) - (2x² + 5x⁴)

= 1 + (3 - 2)x² + 5x⁴    [First subtract the coefficients having the same power of x]

= 1 + x² + 5x⁴

Therefore, the difference between the two polynomials is 1 + x² + 5x⁴.

Similarly, you can use the calculator to find the sum and difference of the given polynomials:

• 9x² + 7 and 2y⁴ + x²
• 4x² + 10y³ and 2y³ + x²