A teacher writes the following product on the board: \qquad (3x^2)(4x) = 12x^3(3x 2 )(4x)=12x 3 left parenthesis, 3, x, squared, right parenthesis, left parenthesis, 4, x, right parenthesis, equals, 12, x, cubed Miles concludes that 3x^23x 2 3, x, squared is a factor of 12x^312x 3 12, x, cubed. Jude concludes that 12x^312x 3 12, x, cubed is divisible by 4x4x4, x.

Both students are right.

Step-by-step explanation:

The product that the teacher wrote on the board is

One of his students called Miles, conclude that

is a factor of

This is very true because from the given product both 3x² and 4x are factors of 12x³.

Another student , Jude also concludes that 12x³ is divsible by 4x.

This is also true because:

Hence both students are correct.