Question

find the remainder obtained on dividing (px)=x³+1by x+1 using long division​

Answer 1

Step-by-step explanation:

first we need to divide the first term of dividend to the first term of divisor and then write it in quotient then multiple it by both the terms of divisor

Answer 2

Step-by-step explanation:

so we are are supposed to divise x^3 + 1 by x+1 =

x^2-x+1

x+1 ) x^3 + 1

- x^3 -x^2

0 - x^2 +1

+x^2+x

0 + x+ 1

-x -1

0

remainder will be zero

we can even check by remainder theorem

so x+1 = 0

= x= -1

so p (x) = x^3 +1

p ( -1) = (-1)^3 +1

= -1 +1= 0

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