Question

Divide x5 + 2x⁴ + 9x² + 3x + 10 by x² +1​

Answer 1

Answer:

Hence, 10 should be subtracted by the polynomial p(x) so that it is divisible by q(x).

Step-by-step explanation:

Our question is: divide polynomial p(x)=2x⁴+3x³-2x²-9x-2 by q(x) =x²-3 and find what should be subtracted from p(x) so that it is divisible by q(x).

In order to find the division between p(x) and q(x) we shall make the division algorithm, and as is shown in the picture bellow, we get a remainder of 10, hence in order to get p(x) divisible by q(x), we would only need it to be subtracted by 10.

Hence, 10 should be subtracted by the polynomial p(x) so that it is divisible by q(x).

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Answer 2

see in the attachment.