Question

px = x4-3x²+2x+1 using remainder theorem find the remainder when PX is divided by x-1

Answer 1

Hey user

Here is your answer

p ( x ) = x^4 - 3x^2 + 2x + 1

Zero of x - 1 is 1
So by using remainder theorem p ( 1 ) will be the remainder

p ( 1 ) = x^4 - 3x^2 + 2x + 1

= ( 1 )^4 - 3 ( 1 )^3 + 2 ( 1 ) + 1

= 1 - 3 + 2 + 1

= - 2 + 2 + 1

= 1

So the remainder is 1 .

Thank you .