# Arithmetic with polynomials

Contents

Learn how to add, subtract, multiply, and even divide polynomials.

8 exercises available

Learn how to add and subtract two polynomials to obtain another polynomial. For instance, express (3x^3+2x-1)+(2x^4-x^3+7x) as a polynomial in standard form.

Learn how to multiply two polynomials to obtain another polynomial. For instance, express (2x^2+5)*(x^3-2x+6) as a polynomial in standard form.

Learn how to divide two polynomials using long division.

Learn how to divide polynomials using synthetic division.

After learning about the different methods in which we can find the quotient and the remainder of two polynomials, gain some practice with actually performing polynomial division yourself.

The polynomial remainder theorem allows us to easily determine whether a linear expression is a factor of a given polynomial. Learn exactly what the theorem means, practice using it, and learn about its proof.