Split the second term in 7x^2 + 17x + 6 into two terms
7x^2 + 14x + 3x + 6
Factor out common terms in the first two terms, then in the last two terms
7x(x + 2) + 3(x + 2)
Factor out the common term x + 2
(x + 2)(7x + 3)
[tex]7x^2+17x+6=7x^2+14x+3x+6=7x(x+2)+3(x+2)\\\\=\boxed{(x+2)(7x+3)}[/tex]
