Hi,

I am hearing synthetic division for the first time today!

Can anyone be kind enough to explain to me what "synthetic division"? And how I can use that to solve the following:

The question says, “use synthetic division to determine if (x + 1) is a factor of P(x) = x^4 + 3x^3 - 2x^2 -12x - 8.If so, write P(x) as (x+1) times the reduced polynomial. Then find the zeros of P(x) (with multiplicity)

Kindly give me leads.

Thanks