How do you factor the trinomial #x^2 + 2x +3#?
1 Answer
Apr 11, 2018
Explanation:
#"there are no whole number factors for + 3 which sum to + 2"#
#"factor using the solutions to "x^2+2x+3=0#
#"solve using the "color(blue)"quadratic formula"#
#"with "a=1,b=2" and "c=3#
#x=(-2+-sqrt(4-12))/2#
#color(white)(x)=(-2+-sqrt(-8))/2=(-2+-2sqrt2i)/2=-1+-sqrt2i#
#rArr(x-(-1+sqrt2i))(x-(-1-sqrt2i))#
#rArrx^2+2x+3=(x+1+sqrt2i)(x+1-sqrt2i)#
