Question

Factor completely 10x5 + 4x4 + 8x3.

Prime
2(5x5 + 2x4 + 4x3)
2x3(5x2 + 2x + 4)
2x(5x4 + 2x3 + 4x2)

Answer 1

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 2

The second option is correct.

Explanation:

The given expression is

`10x^5+4x^4+8x^3`

The factors of first term is

`10x^5=2* 5* x* x* x* x* x`

The factors of second term is

`4x^4=2* 2* x* x* x* x`

The factors of third term is

`8x^3=2* 2* 2* x* x* x`

The common factors are 2,x,x and x, therefore the greatest common factor is
`2x^3`.

`2x^3(5x^2+2x^2+4)`

Therefore the second option is correct.