f(x) / g(x) Dividing Functions help?

Question

Let f(x) = x^2 + 8x + 7 and g(x) = x + 8

Find f(x) / g(x)

Answer 1

It can be done without fancy methods as follows:

Rewrite f(x) as follows:

f(x) = x(x + 8) + 7

⇒ f(x) / g(x) = {x(x + 8) + 7}/(x + 8)

So f(x) / g(x) = x(x + 8)/(x + 8) + 7/(x + 8) = x + 7/(x + 8)

Answer 2

= (x + 7).(x + 1) / (x + 8)

Answer 3

f (x) = x^2 + 8x + 7

f (x) = ( x + 7 ) (x + 1)


f (x) / g (x) = ( x + 7 ) ( x + 1 ) / ( x + 8 )

Answer 4

There is no form which simpler than the obvious one.