Identify which technique would be best applied to factor the polynomial below.

2x^2+xy+6x+3y
A.
difference of two squares
B.
grouping
C.
greatest common factor
D.
perfect square trinomial

also with x^2-25 as well. ( i think its d for that one)

Question

Identify which technique would be best applied to factor the polynomial below.

2x^2+xy+6x+3y
A.
difference of two squares
B.
grouping
C.
greatest common factor
D.
perfect square trinomial

also with x^2-25 as well. ( i think its d for that one)

xapproachesinfinity · Answer

why do you think D?

anonymous · Answer

because 25 is a perfect square idk honestly just a guess

xapproachesinfinity · Answer

this is straight forward $$x^2-25=x^2-5^2$$

xapproachesinfinity · Answer

so that's a difference of two perfect square
x^2 and 5^2

anonymous · Answer

oh okay thank you!!! any idea about the first one?

xapproachesinfinity · Answer

the first one would be like this $$2x^2+xy+6x+3y=2x^2+6x+xy+3y=2x(x+3)+y(x+3)\=(x+3)(2x+y)$$

xapproachesinfinity · Answer

that called grouping

anonymous · Answer

thank you so much

xapproachesinfinity · Answer

weclome