Factor the polynomial function over the complex numbers.
Hi, this question has been asked before.
x^4 + 9x^3 + 15x^2 + 9x + 14
We can use a factoring "trick" here....write this as
x^4 + 9x^3 + 14x^2 + x^2 + 9x + 14 factor by grouping
x^2 ( x^2 + 9x + 14) + 1 ( x^2 + 9x + 14)
(x^2 + 1) (x^2 + 9x + 14)
(x^2 + 1) (x+ 7) ( x + 2)
(x + 1i) ( x - 1i) (x+ 7) ( x + 2)