(Q5)Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following

p(x)=x3-3x2+5x-3, g(x)=x2-2

Given polynomial are

p(x)=x3-3x2+5x-3

g(x)=x2-2

Here, dividend and divisor are both in standard forms

So, we have

-
x2-2) 3-x2+x-
3    -x
-       +
-x2+x-
-x2   +
+      -
x -

The quotient is - and the remainder is x-