Question

@hartnn
Write a linear factorization of the function.
\(f(x) = x^4 + 4x^2\)

\(f(x) = x^2(2x + i)^2\)
\(f(x) = x^2(x + 2i)^2\)
\(f(x) = x^2 (x + 2i)(x - 2i)\)
\( f(x) = x^2 ( 2x + i)( 2x - i)\)

Answer 1

factor out x^2 first

Answer 2

for
\(x^2 +a^2 \)
you can factor it as
\((x+ia)(x-ia)\)

Answer 3

so it would be C? or D?

Answer 4

what did u get after factoring x^2 ?

Answer 5

x^2(x^2+4)

Answer 6

right
so here
a^2 = 4
a=2

now what do u think ?

Answer 7

C

Answer 8

yes :)