Question

Write a linear factorization of the function. f(x) = x^4 + 64x^2

Answer 1

we are given with the function f(x) = x^4 + 64x^2 and is asked to factor the function. The greatest common factor of the terms is x^2 . hence taking out x^2 from the set, the result is x2 *(x2 + 64).(x2 + 64) is equal to (x+8)^2 - 16x. hence the linear factorization is x^2 * ( (x+8)^2 - 16x)

Answer 2

Hello,

y=x^4+64x&
In IR, y=x^2(x^2+64).

In C, y=x²(x+8i)(x-8i)