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)