Question

Factor.
3g2+ 25g + 8
please put it at (x+b) (x+b) form

Answer 1

Factor by grouping.
(
3
g
+
1
)
(
g
+
8
)

Answer 2

(3g + 1)(x + 8)

Explanation:

3g2+ 25g + 8; think of FOIL

(3g + ___ ) (g + ___); you know you will get the first term when you multiply 3g and g. Also you know that the signs will be positive because 25g and 8 are positive.

Now think of the multiples for 8 because it will be the last term; it could be 4*2 or 8*1 and move the options so you get 25g from outers and inners. You will get this

(3g + 1)(x + 8)