6. Find the reminder when the polynomial x4+2x3+x-1 is divided by (x-2).
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For finding the remainder, we need to use remainder theorem.
let,
p (x) = x 3 − 2 x 2 + x + 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).
⇒ x − 1 =0
⇒ x = 1
p (1) = 13 − 2 × 12 + 1 + 1
p (1) = 1
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