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.
I think it's good you look for some examples on the internet.
If is a divisor of then can be factored as:
With the method of synthetic division you'll be able to find and if you apply again synthetic division you'll be able to factore: .