Divide the polynomial $p(x)$ by the polynomial $g(x)$ and find the quotient and remainder, in each of the following: $p(x) = x^4 - 5x + 6, g(x) = 2 -x^2$
Given:
$p(x) = x^4 - 5x + 6, g(x) = 2 -x^2$
To do:
We have to divide the polynomial $p(x)$ by the polynomial $g(x)$ and find the quotient and remainder.
Solution:
$p(x) = x^4 - 5x + 6$
$g(x) = 2 -x^2$
Therefore, the quotient is $-x^2-2$ and the remainder is $-5x+10$.
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