Q:

how do i factor this trinomial?

Accepted Solution

A:
[tex]\text{Hey there!}[/tex][tex]\text{The answer is: (3g + 2)(g + 2)}[/tex][tex]\text{To make sure it comes back to the original problem}\bf{(3g^2+8g+4)}[/tex] [tex]\text{You would have to distribute the answer}[/tex][tex]\text{3g(g)=}3g^2\\ \text{3g(2)=6g}\\ \text{2(g)=2g}\\ \text{2(2)=4}[/tex][tex]\text{After distributing combine your like terms:}[/tex][tex]\text{In this particular answer we have: 1 term with TWO LIKE TERMS}[/tex][tex]\text{6g+2g=8g(That's how we got the 8g in the original equation)}[/tex][tex]\text{The}\bf{\ 3g^2}\text{ stays the same because there's nothing to go with it}[/tex][tex]\text{The 4 also stays the same because nothing goes with it as well}[/tex][tex]\boxed{\boxed{\text{Answer:(3x + 2 (x + 2)})}}\checkmark[/tex][tex]\text{Good luck on your assignment and enjoy your day!}[/tex]~[tex]\frak{LoveYourselfFirst:)}[/tex]