Question

Please ans question no 8 .

8) Divide polynomial 3x4 - 5x3 + 4x2 + 10x -2 by x3 - 2x and verify the division algorithm.

Answer 1

Divide the given p(x) by the given g(x)
By dividing,we get 3x-5 as quotient and 10x^2 -2 as remainder.
Then , apply division algorithm
i.e Dividend=divisor×quotient+remainder
(x^3-2x)×(3x-5)+10x^2 -2
By multiplying and adding we get the answer which is the Dividend.


Methods are clearly laid down in the picture.