SOLUTION: 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 y

Algebra ->  Linear-equations -> SOLUTION: 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 y      Log On


   

Question 926149: 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 by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=x%5E3%2B%2812-4i%29x%5E2%2B%2832-48i%29x-128i, given: +k=4i
f%28x%29=x%5E3%2B12x%5E2-4i%2Ax%5E2%2B32x-48i%2Ax-128i .....rearrange
f%28x%29=x%5E3%2B12x%5E2%2B32x-4i%2Ax%5E2-48i%2Ax-128i....group
f%28x%29=%28x%5E3%2B12x%5E2%2B32x%29-%284i%2Ax%5E2%2B48i%2Ax%2B128i%29
f%28x%29=x%28x%5E2%2B12x%2B32%29-4i%28x%5E2%2B12x%2B32%29
f%28x%29=%28x-4i%29%28x%5E2%2B12x%2B32%29+
f%28x%29=%28x-4i%29%28x%5E2%2B8x%2B4x%2B32%29
f%28x%29=%28x-4i%29%28x%2B4%29%28x%2B8%29+..in completely factored form