Question

find the complex zeros of f(x)=x^3-5x^2+12x-8. Write f in factored form.

Answer 1

First you factor it as (-1 + x) (8 - 4 x + x^2), the roots are x=1 and x = 2 - 2 I and x= 2+ 2 i

You can practice factoring polynomials on http://www.saab.org/mathdrills/factor.cgi

Answer 2

well f(1) = 0 so (x -1) is a factor

do the polynomial division to get the quadratic factor

then solve the quadratic

Answer 3

thanks @eliassaab