Find all of the zeros of each function (Rational Zero Theorem) f(x)=x^3+4x^2+3x-2

rational-zeros

#1

find all of the zeros of each function (Rational Zero Theorem) f(x)=x^3+4x^2+3x-2
How do I do this?

Answer:

first factor is x=-2
after we do the long division (x^3+4x^2+3x-2)/x+2=x^2+2x-1
then we factor x^2+2x-1, by using quadratic formula -2±root(8)/2=-1±root 2
x=-2, -1+root 2, -1-root2