Question

find the remainder using remainder theorem when 3x^4-4x^3-3x-1 is divided by x-1

Answer 1

Step-by-step explanation:

For finding the remainder, we need to use remainder theorem

let p(x)=3x

4

−4x

3

−3x−1

Hence, to find the remainder on dividing by x−1, we need to equate it to 0 and put that value of x in p(x)

⇒p(x)=3x

4

−4x

3

−3x−1

⇒x−1=0

⇒x=1

⇒p(1)=3×1

4

−4×1

3

−3×1−1

⇒p(1)=−5