# Polynomial Multiplication Calculator

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Use this calculator to find the product of a multiplication of two polynomials. Enter the polynomials in the respective input boxes and the product will be displayed at the bottom of the calculator.

## How to use the polynomial multiplication calculator?

Step 1: Enter the polynomials in the corresponding input boxes. Take into account the suggestions of the following question to enter the polynomials correctly.

Step 2: Click “Multiply” to get the product of the polynomials entered.

Step 3: The solution together with the entered polynomials will be displayed at the bottom.

## How to enter polynomials in the calculator?

To enter polynomials correctly, we must use the * sign to indicate multiplication between variables and coefficients. For example, we can enter 4*x or 5*x instead of 4x or 5x.

We can use the ^ sign to indicate an exponent. For example, we can write x^2 or x^3, to indicate that the variable is being squared and cubed, respectively.

Finally, we can use the / sign to indicate fractional coefficients. For example, by writing 1/2*x, we are indicating that we have a half of x.

The following are some examples of how to enter polynomials into the calculator:

• To multiply $$(5x^2+2x)\times (3x^2+x)$$, enter 5*x^2+2*x y 3*x^2+x.
• To multiply $$(\frac{1}{3}t^2+\frac{2}{3}t)\times (5t^2+2t)$$, enter 1/3*t^2+2/3*t y 5*t^2+2*t.

## What are polynomials?

Polynomials are algebraic expressions consisting of variables and coefficients. The variables of a polynomial are only raised to positive integer exponents. We can perform arithmetic operations with polynomials such as addition, subtraction, multiplication, and division.

## How to perform a multiplication of polynomials?

When two or more polynomials are multiplied, we always get a polynomial of higher degree (unless one of the polynomials is a constant). To multiply polynomials, we have to use the distributive property of multiplication. For example:

$$({{x}^2} +1)(x-2)$$

$$=({{x}^2})(x)+(1)(x)+({{x}^2})(-2)+(1)(-2)$$

$$={{x}^3}+x-2{{x}^2}-2$$