Divide the polynomial $p(x)$ by the polynomial $g(x)$ and find the quotient and remainder, in each of the following:
$p(x) =x^4 - 3x^2 + 4x + 5, g(x) = x^2 + 1 -x$
Given:
$p(x) =x^4 - 3x^2 + 4x + 5, g(x) = x^2 + 1 -x$
To do:
We have to divide the polynomial $p(x)$ by the polynomial $g(x)$ and find the quotient and remainder.
Solution:
$p(x) = x^4 - 3x^2 + 4x + 5$
$g(x) = x^2+1 -x$
Therefore, the quotient is $x^2+x-3$ and the remainder is $8$.
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