Find all the real zeros of the polynomial. Use the quadratic formula if necessary.
P(x)= x^3 + 4x^2 + 3x 2
To get the possible zeros of the polynomials p/q can help us, where p= 2
it is the last term. q = 1, this is the coefficient of the first term
We will factor p and q
p = 1*2 and 1*2
= 1, 2, 1, 2
q = 1*1 and 1*1
= 1, 1
possible zeros p/q are 1, 1, 2, 2
Test using synthetic division which among them are the real zeros of the polynomial
1  1 4 3 2
1 5 8
_______________________
1 5 8 6  > not a real zero
1  1 4 3 2
1 3 0
_____________________
1 3 0 2 ==> Not a real zero
2  1 4 3 2
2 12 30
_____________________
1 6 15 28 ====> not a real zero
2  1 4 3 2
2 4 2
_________________
1 2 1 0 ===> a Real zero
the factor now is (x + 2) (x^2 + 2x  1)

> we can use quadratic formula to get the factor for this where a = 1, b = 2 and c = 2