Question

Consider the rational expression.

Answer 1

Answer:

The options 1,2 and 4 are correct.

Step-by-step explanation:

The given rational expression

$\frac{6x+12}{x^2+8x+12}$

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.

$\frac{6(x+2)}{x^2+6x+2x+12}$

$\frac{6(x+2)}{x(x+6)+2(x+6)}$

$\frac{6(x+2)}{(x+6)(x+2)}$

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.