Question

Which among the following is not a factor of $4y(y+3)$?

• A. + 3
• B. 4
• C. 4( + 3)
• D. None of these

Answer 1

The correct option is B

4

$4y(y+3)$​​​​ can be written as $4\times y\times (y+3)=4y\times (y+3)=4(y+3)\times y=4\times y(y+3)$
$4y\times (y+3);y(y+3)$ is a factor of $4y(y+3)$
$4(y+3)\times y=4y(y+3);4(y+3)$ is a factor of $4y(y+3)$​​
$4y(y+3)$ is $4y^2+12y$.
So, $4y^2$ is a term in the expansion of $4y(y+3)$​​​​​​ but not a factor.