Respuesta :

Note how 2x^2 is a common factor of these three terms.  Thus,

8x^5 + 2x^4 + 4x^2  =  (2x^2)(4x^3 + x^2 + 2)

The latter factor, a cubing equation, does not have any integer roots.

Answer: Factorisation of the above expression is given by

[tex]2x^2(4x^3+x^2+2)[/tex]

Step-by-step explanation:

Since we have given that

[tex]8x^5 + 2x^4 + 4x^2.[/tex]

We need to factorise the above expression:

[tex]8x^5 + 2x^4 + 4x^2.\\\\=2x^2(4x^3+x^2+2)[/tex]

Hence, factorisation of the above expression is given by

[tex]2x^2(4x^3+x^2+2)[/tex]