Answer:
The options 1,2 and 4 are correct.
Step-by-step explanation:
The given rational expression
[tex]\frac{6x+12}{x^2+8x+12}[/tex]
From the given expression it is noticed 12 is a term in both the numerator and denominator. Option 1 is correct.
The denominator has 3 terms. Option 4 is correct.
[tex]\frac{6(x+2)}{x^2+6x+2x+12}[/tex]
[tex]\frac{6(x+2)}{x(x+6)+2(x+6)}[/tex]
[tex]\frac{6(x+2)}{(x+6)(x+2)}[/tex]
From the above expression it is clear that (x+2) is a factor of the numerator. Option 2 is correct.
Therefore options 1,2 and 4 are correct.
