- #1
soandos
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is there a way to prove it?
if so what is it.
if so what is it.
Synthetic division is a method used to divide a polynomial by a linear expression, also known as a binomial. It involves a series of steps that use coefficients from the polynomial to determine the quotient and remainder.
The main purpose of synthetic division is to simplify the process of polynomial division. It is a quicker and more efficient method compared to long division, especially for polynomials with higher degrees.
No, synthetic division can only be used when dividing by a linear expression, meaning a binomial with a degree of 1. It cannot be used for polynomials with a degree higher than 1 or for dividing by a polynomial with multiple terms.
If you have correctly performed synthetic division, the remainder should be equal to zero. This means that the linear expression used as the divisor is a factor of the polynomial, and the resulting quotient is the other factor.
One limitation of synthetic division is that it can only be used for dividing polynomials with real coefficients. It cannot be used if the polynomial has complex or imaginary roots. Additionally, it can only be used for division, not for multiplication or other operations.