Respuesta :

10x^5 + 4x^4 + 8x^3
2x^3 ((10x^5)/(2x^3) + (4x^4)/(2x^3) + (8x^3)/(2x^3))
2x^3(5x^2 + 2x + 4)

The answer is: 2x^3(5x^2 + 2x + 4).

Answer:

The second option is correct.

Step-by-step explanation:

The given expression is

[tex]10x^5+4x^4+8x^3[/tex]

The factors of first term is

[tex]10x^5=2\times 5\times x\times x\times x\times x\times x[/tex]

The factors of second term is

[tex]4x^4=2\times 2\times x\times x\times x\times x[/tex]

The factors of third term is

[tex]8x^3=2\times 2\times 2\times x\times x\times x[/tex]

The common factors are 2,x,x and x, therefore the greatest common factor is [tex]2x^3[/tex].

[tex]2x^3(5x^2+2x^2+4)[/tex]

Therefore the second option is correct.