Question

Factor f(x) into linear factors given that k is a zero of f(x).

f(x)=x^3+(12-4i)x^2+(32-48i)x-128i, k=4i
In completely factored form, f(x) =____
(factor completely. simplify your answer)

Answer 1

so, if you divide f(x) by (x-4i) you get

f(x) = (x-4i)(x^2+12x+32) = (x-4i)(x+4)(x+8)

Answer 2

Factor​ f(x) into linear factors given that k is a zero of​ f(x).
f(x)=3x3+ 14x2−77x+24​; k=3
​f(x)=enter your response here ​(Factor completely.)