Question

find the remainder obtained on dividing the
$p(x) =x {}^{4 } + x {}^{3 } - 2x {}^{2}4x + 1 by (x - 1)$


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Answer 1

Step-by-step explanation:

ANSWER

Here p(x)=x

3

−2x

2

−4x−1 and g(x)=x+1

Now, p(x) is divided by g(x)

Thus the remainder is p(−1)=(−1)

3

−2(−1)

2

−4(−1)−1 (By Remainder Theorem)

=−1−2+4−1

=0

Thus, remainder is 0

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