How do you factor the expression # x^2 + 4x + 3#?

1 Answer
Aug 14, 2016
  • Both the middle term and constant terms are positive, so the factors are both #x bb(color(red)(+)) c#.
  • The only factors of #3# are #1# and #3#.
  • Because of the way you expand factored quadratics (first, outer, inner, last), the factors of the constant term add together to give the middle term's coefficient when a quadratic is factorable.

Therefore, this becomes #color(blue)((x+1)(x+3))#.