Question

Can you always use synthetic division for dividing polynomials? Explain in your own words

Answer 1

Lets compute the following division:

`(2x^3-5x^2-x+3)/(x+3)`

In the synthetic division method, first list the coefficient of the numerator only and uyse the root associated with the division, that is,

Then bring down the first coefficient and multiply the root times the first coefficient and add it to the second coeffcient, that is,