Question

How to determine the remainder in dividing the polynomial P(x) by a divisor x-1?​

Answer 1

Answer:

Calculate P(1)

Step-by-step explanation:

Given

P(x)

$Divisor = x - 1$

Required

How to determine the remainder

First, you equate the divisor to 0 to solve for x

i.e.

$x - 1 = 0$

$x = 1$

Next, substitute 1 for x in P(x)

Then solve for P(1)

Take for instance;

If

$P(x) = x^3 - x^2 - 1$

Substitute 1 for x

$P(1) = 1^3 - 1^2 - 1$

$P(1) = 1 - 1 - 1$

$P(1) = - 1$

Hence, the remainder is -1