For all x > 0, 2x^2+14x+24/x+4 simplifies to what?

Answer 1

2x^2+14x+24/(x+4) = 2(x^2 + 7x + 12)/(x+4)
= 2(x+3)(x+4)/(x+4)

Cancel out the x+4 terms in numerator and denominator