(Q13)Give examples of polynomials p(x),g(x),q(x) and r(x) which satisfy the divison algorithm and
deg p(x)= deg q(x)

Answer

Let q(x)=3x2+2x+6, degree of q(x)=2

p(x)=12x2+8x+24, degree of p(x)=2

Given degree p(x)=degree q(x)

Using divison algorithm

We have, p(x)=q(x)×g(x)+r(x)

On dividing 12x2+8x+24, by 3x2+2x+6

3x2+2x+6) x2+x+
x2+x+
-   -    -

g(x)= and r(x)=