Răspuns :
Răspuns:
a) [tex]x^{2} +5x+6=x^{2} +3x+2x+6=x(x+3)+2(x+3)=(x+3)(x+2)[/tex]
b) [tex]x^{2} +6x+8=x^{2} +4x+2x+8=x(x+4)+2(x+4)=(x+4)(x+2)[/tex]
c) [tex]x^{2} -5x+6=x^{2} -2x-3x+6=x(x-2)-3(x-2)=(x-2)(x-3)[/tex]
d) [tex]x^{2} +7x+12=x^{2} +4x+3x+12=x(x-4)+3(x+4)=(x+4)(x+3)[/tex]
e) [tex]x^{2} -x-6=x^{2} +2x-3x-6=x(x+2)-3(x+2)=(x+2)(x-3)[/tex]
f) [tex]x^{2} +2x-8=x^{2} +4x-2x-8=x(x+4)-2(x+4)=(x+4)(x-2)[/tex]
g) [tex]x^{2} -3x-10=x^{2} +2x-5x-10=x(x+2)-5(x+2)=(x+2)(x-5)[/tex]
h) [tex]x^{2} -x-2=x^{2} +x-2x-2=x(x+1)-2(x+1)=(x+1)(x-2)[/tex]
[tex]\it a)\ x^2+5x+6=x^2+2x+3x+6=x(x+2)+3(x+2)=(x+2)(x+3)\\ \\ \\ h)\ x^2-x-2=x^2+x-2x-2=x(x+1)-2(x+1)=(x+1)(x-2)\\ \\ g)\ x^2-3x-10=x^2+2x-5x-10=x(x+2)-5(x+2)=(x+2)(x-5)[/tex]