Question

which technique would be the best applied to factor the polynomial

Answer 1

We are given the following polynomial:

$2x^2+xy+6x+3y$

To factor the expression we can associate terms like this:

$(2x^2+xy)+(6x+3y)$

That way, we can take common factors on both parentheses:

$x(2x+y)+3(2x+y)$

And then again take a common factor "2x + y":

$(2x+y)(x+3)$

This means that the best technique to factor in is grouping.