Problema Solution

Find all complex zeros for the following polynomial function. Please show all of your work.

f(x)=x^3-5x^2+49x-245

Answer provided by our tutors

f(x)=x^3-5x^2+49x-245=0

=> (x-5)(x^2+49)=0

=> x=5 or x^2=-49  => x=-7i or x=7i

so roots are: 5, 7i and -7i