25.0k views
4 votes
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.

2 Answers

7 votes

Answer:

4x4x4x45x5x6x67

Explanation:

keireww

User Aniks
by
8.5k points
4 votes

Answer:

Both students are right.

Explanation:

The product that the teacher wrote on the board is


\qquad (3x^2)(4x) = 12x^3

One of his students called Miles, conclude that


3 {x}^(2)

is a factor of


12 {x}^(3)

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:


\frac{12 {x}^(3) }{4x} = 3 {x}^(2)

Hence both students are correct.

User YSY
by
7.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories