MATH CALCULATOR
Multiplying Polynomials Calculator
Effortlessly multiply polynomials with our online calculator.
What is the Multiplying Polynomials Calculator & How does it work?
Polynomial multiplication involves multiplying each term of one polynomial by every term of another polynomial. The result is a new polynomial whose degree is the sum of the degrees of the original polynomials.
For example, multiplying (2x + 3) by (x – 4) results in a new polynomial: 2x^2 – 5x – 12.
(a_nx^n + a_{n-1}x^{n-1} + … + a_1x + a_0) times (b_mx^m + b_{m-1}x^{m-1} + … + b_1x + b_0)
a_n, a_{n-1}, …, a_0 = coefficients of the first polynomial
b_m, b_{m-1}, …, b_0 = coefficients of the second polynomial
b_m, b_{m-1}, …, b_0 = coefficients of the second polynomial
Parameters
Result—
Frequently Asked Questions
How do I multiply two binomials?
To multiply two binomials, use the distributive property (FOIL method) and combine like terms.
What is polynomial multiplication?
Polynomial multiplication involves multiplying each term of one polynomial by every term of another polynomial.
Can you show me an example of polynomial multiplication?
Sure! Multiplying (2x + 3) by (x – 4) results in 2x^2 – 8x + 3x – 12, which simplifies to 2x^2 – 5x – 12.
How do I handle special cases like multiplying a polynomial by a monomial?
Multiply each term of the polynomial by the monomial. For example, 3x(2x^2 + 4x – 5) results in 6x^3 + 12x^2 – 15x.
What is the degree of the resulting polynomial after multiplication?
The degree of the resulting polynomial is the sum of the degrees of the two polynomials being multiplied.
Results are for informational purposes only and do not constitute professional advice.