In this video, we explain how to divide polynomials . The long division process of Polynomials is presented using an example.
using the long division process presented with detailed explanations.
The division of polynomial \( P(x) \) called the dividend by the polynomial \( d(x) \) called the divisor is written as
\[ \frac{P(x)}{d(x)} \]
and after division it given by
\[ \frac{P(x)}{d(x)} = Q(x) + \frac{R(x)}{d(x)} \]
where \( Q(x) \) is called the quotient and \( R(x) \) is called the ramainder.
As an example, the division of two polynomials given by
\[ \frac{ 2x^4 - x^3 + 4x - 3}{x^2 - 1} \]
is explained with all the steps needed.