Question

if p(x)=x²-x-1 then find the value of p(0) and (x-1) by vlong division method and find the remainder. check the remainder using remainder theoram​

Answer 1

Step-by-step explanation:

p(0) = 0² - 0 - 1 = -1

By long division

x-1 ) x² - x -1 ( x

x² - x

---------------

-1

The remainder is -1.

According to remainder theorem, p(x) leaves p(a) as remainder when divided by (x-a)

So, remainder = p(1)

= 1² -1 -1

= 1-2

= -1

Thus the remainder is same from both method.