Answer:
Both students are right.
Step-by-step explanation:
The product that the teacher wrote on the board is
[tex]\qquad (3x^2)(4x) = 12x^3[/tex]
One of his students called Miles, conclude that
[tex]3 {x}^{2} [/tex]
is a factor of
[tex]12 {x}^{3} [/tex]
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:
[tex] \frac{12 {x}^{3} }{4x} = 3 {x}^{2} [/tex]
Hence both students are correct.
