Answer:
Step-by-step explanation:
[tex]4x^4+7x^2-2\\=4x^4+8x^2-1x^2-2\\=4x^2(x^2+2)-1(x^2+2)\\=(x^2-2(-1))(4x^2-1)\\=(x^2-2i^2)[(2x)^2-1^2]\\=(x+\sqrt{2} i)(x-\sqrt{2} i)(2x+1)(2x-1)[/tex]