Question

One of the factors of 8x^3 - 800x is

A. 8x
B. x + 10
C. x-10
D. All of the above

Answer 1

One of the factors would be D:all of the above

Answer 2

Answer: D. All of the above

Explanation:

The given expression :
`8x^3 - 800x`

We can see that the 8x is the greatest common factor of both the terns in the given polynomial.

Taking the GCF (8x) common as outside the expression , we get

`8x(x^2-100)\\\\=8x(x^2-(10)^2)`

Using the identity :
`a^2-b^2=(a+b)(a-b)`

`8x(x+10)(x-10)`

Hence, the factors of the given expression are
`8x,\ (x+10),\ (x-10)`