Question

Factor: 2x2 + 7x + 3

Answer 1

first you factorize so

to factorize you multiply the first and the 3 number

2*3=6 make a list of factor
6
1*6 pick the factor that added make 7
2*3

so now you make a polynomial

2x^2 +6x +3x+ 3=0

now you make 2 grups of 2 factor so
(2x^2 +6x) +(x+ 3) now you find the greatest common factor and divide by the parenthesis
2x(x+3)+1(x+3) the parenthesis have to be the same so now the factor outside the parenthesis are your other factors so
(2x+1)(x+3) now you just set it equal to 0 so
2x+1=0 and solve
2x/2=-1/2
x=-1/2

x+3=3
x=-3

Answer 2

(2x+1)(x+3)