anonymous
  • anonymous
Write a linear factorization of the function. f(x) = x4+ 9x2 f(x) = x2(x + 3i)(x - 3i) f(x) = x2(x + 3i)2 f(x) = x2(3x + i)(3x - i) f(x) = x2(3x + i)
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
f(x) = x2(3x + i)^2
inkyvoyd
  • inkyvoyd
Here's a hint: (a^2+b^2)=(a+bi)(a-bi) hint hint.
anonymous
  • anonymous
(3x+i)(3x-i)

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inkyvoyd
  • inkyvoyd
Nope.
inkyvoyd
  • inkyvoyd
Lemme rewrite it. \(\Huge (x^{2})^{2}+(3x)^2\) hinty hint.
anonymous
  • anonymous
i dont understand @inkyvoyd how can you get an answer i think its f(x) = x2(3x + i)(3x - i)
anonymous
  • anonymous
f(x) = x2(x + 3i)2 i think this @inkyvoyd
inkyvoyd
  • inkyvoyd
Well \(\Huge (x^{2})^{2}+(3x)^2\) \(\huge\text{a=}x^2\text{b=}3x\)
inkyvoyd
  • inkyvoyd
\(\Huge a^2+b^2=(a+bi)(a-bi)\)
anonymous
  • anonymous
f(x) = x2(x + 3i)(x - 3i) ohhhhhhhhhhh @inkyvoyd lol
inkyvoyd
  • inkyvoyd
Yup.

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