Polynomial division - formulas and examples

Polynomial division causes enormous problems for some pupils.

this reason, the following sections are intended to explain polynomial division in the simplest possible way.

The mathematical process of polynomial division is used to calculate zeros for polynomials

similar to written division, which was taught in the early years of primary school.

The explanation of polynomial division

Unlike division from primary school, polynomial division involves dividing whole terms. Terms contain numbers, symbols, variables and brackets. To carry out polynomial division, a term is therefore required on the one hand and a known zero of the term on the other. The exact mathematical term for this is polynomial. As a result, two polynomials are divided, giving rise to the name polynomial division.

Finding the zero is relatively difficult in most cases. Teachers often already specify a zero, but if this is not the case, the zero of the term can also be determined using a numerical method or by guessing.

Example 1:

Given: Function f(z) = ^z3 - ^2z2 - 5z 6 and zero z = 1

Wanted: All zeros of f(z)

Solution: Polynomial division