Question

how to do this problem??? find all zeros of t he function and write the polynomial as a product of linear factors?? f(x)= x^4+25x^2+144

Answer 1

let u=x^2
so u^2+25u+144=0
solve for u
and then take square root to find x

Answer 2

ok

Answer 3

and then what i need to do next?

Answer 4

after you take square root of u to find x then you have your answer you can probably simplify

Answer 5

i have the answer are 4i, -4i,3i, -3i... and what is the linear factors ????

Answer 6

f(x)=(x-4i)(x+4i)(x-3i)(x+3i)

Answer 7

thank you so much:)...

Answer 8

np :)
i check your answers very good!