Question

Divide polynomial p(x) = 3x ^ 4 + 4x ^ 3 + 4x ^ 2 * 8 * x + 1 by q(x) = 3x + 1 Also find the remainder using remainder theorem.​

Answer 1

Answer:

Here, f(x) is divided by (x−2).

Now, according to the remainder theorem, when f(x) is divided by (x−2), then the remainder is f(2). {∵x−2=0→x=2

Then,

f(2)=3(2)

4

−4(2)

2

+8(2)−1

=3(16)−4(4)+16−1

=48−16+16−1

=47.

Hence, the remainder obtained is 47.

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