Factor 2x^2 + 7x+3

a: (2x+2) (x+1)

b: (2x+3) (x+1)

c: (2x+1) (x+3)

Split the second term in 2x^2 + 7x + 3 into two terms

2x^2 + 6x + x + 3

Factor out the common terms in the first two terms, then in the last two terms;

2x (x + 3) + (x + 3)

Factor out the common term x + 3

= c: (2x + 1) (x + 3)