Multiplying Polynomials Calculator

'Multiplying Polynomials Calculator' is an online tool that helps to calculate the product of two polynomials. 

What is Multiplying Polynomials Calculator?

Online Multiplying Polynomials Calculator helps you to calculate the product of two polynomials within a few seconds.

Multiplying Polynomials Calculator

NOTE: Enter polynomials in terms of x and y only.

How to Use Multiplying Polynomials Calculator?

Follow these steps which will help you to use the calculator.

• Step 1: Enter the polynomial 1 and polynomial 2 in the given input box.
• Step 2: Click on "Multiply" to find the product of two polynomials.
• Step 3: Click on "Reset" to clear the field and find the product of two different polynomials.

How to Find Multiplying Polynomials?

"A polynomial is defined as a type of expression in which the exponents of all variables should be a whole number. To multiply two polynomials, we have to carry out the multiplication process term-by-term.

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

Solved Examples on Multiplying Polynomials Calculator

Example 1:

Find the product of 1 + 3y and 2y + y²

Solution:  

= (1 + 3y) (2y + y²)

= (1 × 2y) + (1 × y²) + (3y × 2y) + (3y × y²)

= 2y + y² + 6y² + 3y³ 

= 2y + 7y² + 3y³

= y(2 +7y + 3y²)

Hence the product of two polynomials is y(2 +7y + 3y²).

Example 2:

Find the product of 4x² + 5x⁷ and x + 8x⁴

Solution:  

= (4x² + 5x⁷) (x + 8x⁴)

= (4x² × x) + (4x² × 8x⁴) + (5x⁷ × x) + (5x⁷ × 8x⁴)

= 4x³ + 32x⁶ + 5x⁸ + 40x¹¹ 

= x³(4x +32x³ + 5x⁵ + 40x⁸)

Hence the product of two polynomials is x³(4x +32x³ + 5x⁵ + 40x⁸).

Example 3:

Find the product of x + 3xy² and x²y + xy³)

Solution:  

= (x + 3xy²) (x²y + xy³)

= (x × x²y) + (x × xy³) + (3xy² × x²y) + (3xy² × xy³)

= x³y + x²y³ + 3x³y³ + 3x²y⁵

= x²y(x + y² + 3xy² + 3y⁴)

Hence the product of two polynomials is x²y(x + y² + 3xy² + 3y⁴).

Now use the calculator to find out the product between the given polynomials:

1) 8x³ + 3 and 2y² + x³

2) 2x² + y³ and 2y³ + x²

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