Question

Marie factored 11x^3y^5 as (8x^3)(3y^5). Stanley factored 11x^3y^5 as (11xy)(x^2y^4). Which of them factored 11x^3y^5 correctly?

Answer 1

Stanley factored it correctly.

Explanation:

`11x^3y^5`

We are given that Marie and Staley factored the above expression as follows and we are to determine who factored it correctly:

Marie:
`11x^3y^5` --->
`(8x^3)(3y^5)`

`(8x^3)(3y^5)` =
`24x^3y^3` so this is wrong.

Stanley:
`11x^3y^5` --->
`(11xy)(x^2y^4)`

`( 1 1 x y ) ( x ^ 2 y ^ 4 )` =
`1 1 x ^ 3 y ^ 5`

Therefore, Stanley factored it correctly.