1993 HSC Polynomials Question (1 Viewer)

[Smilebuffalo]

This was only in question 3, but i had no idea how to do it.


When the polynomial P(x) is divided by x^2-1 the remainder is 3x -1. What is the remainder when P(x) is divided by (x-1)

(answer = 2)

 

[untouchablecuz]

P(x)=(x²-1)Q(x)+(3x-1) (division transformation)

P(1)=(1²-1)Q(1)+(3-1)=2

 

[Divided_By_Zero]

nvm wrote this before someone else answered it

 

[Smilebuffalo]

wow so simple lol. Thank you very much.