Question

Which of the following is a factor of $2xy+6y^2$ ?

• A. 2
• B. $y$
• C. $x+3y$
• D. All of these

Answer 1

The correct option is D All of these

By using method of common factors,
$2xy+y^2$can be factorized as $2\times y\times (x+3y)$
2xy has 2,x,y as irreducible factors.
$6y^2$ has $6,y,y$ as irreducible factors.
The prime factors of 6 are 2 and 3.
So, the common factors of the two terms are 2 and y.
$2\times x\times y+2\times 3\times y\times y$
$=2\times y\times (x+3y)$