how do you solve this problem? 2k^2+7k+3
to factor the given expression
this is in the form ax^2 + bx + c
find a*c then use factors of ac that add up to b also pay attention to the signs.
express the middle term with the terms added
regroup and factor out what is common
2k^2+7k+3
a = 2; b = 7 and c = 3
ac = 6 what are the factors of 6 that add up to 7? use +6 and +1
2k^2 + 6k + k + 3
group and factor
2k^2 + 6k and k + 3
2k(k+3) + 1(k + 3) here k + 3 is common to both groups
(2k + 1)(k + 3)