Question

Using the given zero, find all other zeros of f(x).

-2i is a zero of f(x) = x4 - 32x2 - 144

Answer 1

HI!!

Answer 2

we don't even need to know that to find all the zeros

Answer 3

first we solve \[u^2-32u-144=0\] then we replace \(u\) by \(x^2\)

Answer 4

of course if you want to use that piece of information we can
if \(-2i\) is a zero then so is \(2i\) so one of the factors is
\[(x-2i)(x+2i)=x^2+4\]

Answer 5

so it factors as
\[(x^2+4)(x^2-36)\] and now the other zeros are easy to find

Answer 6

Are they 0,-6,6?

Answer 7

no

Answer 8

they are -6, 6 and 2i

Answer 9

OK thank you

Answer 10

\[\color\magenta\heartsuit\]