Multiply Polynomials Calculator

This Multiply Polynomials Calculator allows users to input polynomials of varying degrees (linear, quadratic, cubic) and calculates the resulting polynomial from their multiplication, providing the coefficients for each term up to x⁶.

Use Our Multiply Polynomials Calculator

Multiply Polynomials Calculator: Step-by-Step Guide

Step 1: Select the Degree of the First Polynomial

Begin by selecting the degree of the first polynomial. You will have three options to choose from:

  • Linear (ax + b) – A polynomial of degree 1.
  • Quadratic (ax² + bx + c) – A polynomial of degree 2.
  • Cubic (ax³ + bx² + cx + d) – A polynomial of degree 3.

This selection is mandatory, so ensure that you choose the option that corresponds to the polynomial you intend to use.

Step 2: Enter Coefficients for the First Polynomial

Once you have set the degree, you need to enter the coefficients for the first polynomial:

  • Coefficient a1 – This is mandatory, with a value between -100 and 100, and supports increments of 0.1.
  • Coefficient b1 – This is also required, with the same constraints as a1.
  • Coefficient c1 – This is required for quadratic and cubic polynomials, with the same constraints.
  • Coefficient d1 – This is only necessary for cubic polynomials, with similar constraints.

Step 3: Select the Degree of the Second Polynomial

Next, you will need to select the degree of the second polynomial. The options are identical to those for the first polynomial:

  • Linear (ax + b) – Degree 1.
  • Quadratic (ax² + bx + c) – Degree 2.
  • Cubic (ax³ + bx² + cx + d) – Degree 3.

This selection is also mandatory, and it is crucial to choose the correct degree for your calculation needs.

Step 4: Enter Coefficients for the Second Polynomial

After designating the degree for the second polynomial, input the coefficients for the second polynomial:

  • Coefficient a2 – Required, with values between -100 and 100, in 0.1 increments.
  • Coefficient b2 – Required and follows the same constraints as a2.
  • Coefficient c2 – Needed for quadratic and cubic polynomials, with similar restrictions.
  • Coefficient d2 – Necessary only for cubic polynomials, with the same conditions.

Step 5: Calculate the Result

After you have entered all necessary coefficients and made the relevant polynomial degree selections, the calculator will process your inputs to compute the product of the two polynomials. The result will be displayed as a polynomial, with terms ranging from the constant term up to the x⁶ term, depending on the selected polynomial degrees.

The resulting polynomial will be formatted to two decimal places for precision, and each term will be clearly labeled for your reference.