Plz help with this math problem ?

Hi,

Problem : x^2 + (p + 1/p)x + 1

= x^2 + px + x/p + 1

= x(x + p) + 1/p(x + p)

= ( x+ p)(x + 1/p)<==FACTORED

Hope i helped u :)

x^2 + (p + 1/p)x + 1
= x^2 + px + x/p + 1
= (x^2 + px) + (x/p + 1)
= x(x + p) + 1/p(x + p)
= (x + p)(x + 1/p)

hey it is simple....
x^2 + (p + 1/p)x + 1
= x^2 + px + x/p + 1
= (x^2 + px) + (x/p + 1)
= x(x + p) + 1/p(x + p)
= (x + p)(x + 1/p)
so dats d answer.

Factor of what? Or you mean factorise?
It is = (x+p)(x+(1/p))

x^2 + (p + 1/p)x + 1 =
Distribute the x into the numerator (p+1), the denominator remains p
x^2 + (xp + x)/p+ 1 =
Divide (xp + x) by p
x^2 + x + x/p + 1 =
Multiply by p to get p out of the denominator
p(x^2 + x + x/p + 1) =
x^2p + xp + x + 1=
Factor
(x + 1)(xp + 1)

Great problem. I hope I helped.Good luck.

x^2 + (p + 1/p)x + 1

x^2+px+x/p+1

x(x+p)+1/p(x+p)

(x+1/p)(x+p)

x= -p,-1/p