Problema Solution
Find the real and complex zeros of the following function. Please show all of your work.
F(X)=X^3-X^2+25X-25
Answer provided by our tutors
F(X)=X^3-X^2+25X-25
F(1)=0 then x=1 is a root.
By dividing the polynomial by x-1 we have
the quotient is x^2+25=0.
x^2=-25.
x=+5i ,-5i.
The roots are x=1, 5i,-5i.