Question

Write a linear factorization of the function.

f(x) = x^4+ 9x^2

Answer 1

Factor x^2 out. What do you get?

Answer 2

im clueless
where do I start

Answer 3

Start with factoring out x^2. What do you get when you factor out x^2?

Answer 4

x^2(x^2)

Answer 5

@aum

Answer 6

f(x) = x^4+ 9x^2 = x^2(x^2 + 9)
They want linear factor and therefore the highest power of each factor should be 1.
f(x) = x^2(x^2 + 9) = x * x * (x^2 + 9) = x * x * (x + 3i) * (x - 3i)