when the function p (x) is divided by x - 1 the quotient is x^2 + 7 + 5/x - 1. State P (x) in standard form.

We know that

P (X) = Dividor * Quotient

So dividor = x-1

Quotient = x2 + 7 + 5/x-1

So,

P (x) = x3 - x2 + 7x - 2

Step-by-step explanation:

Taking LCM of quotient we will get

(x3 - x2 + 7x - 2) / (x-1)

Now by multiplying the above equation with x-1,

Only thing remaining will be

x3 - x2 + 7x - 2

This is P (x).