If p(x) ,q(x) and r(x) and three polynomials of degree 2, then `|{:(p(x),q(x),r(x)),(p'(x),q'(x),r'(x)),(p''(x),q''(x),r''(x)):}|` is ………….of x .

If p(x) ,q(x) and r(x) are three polynomials of degree 2, then |{:(p(x),q(x),r(x)),(p'(x),q'(x),r'(x)),(p''(x),q''(x),r''(x)):}| is ………….of x .

Let p(x)=(x-1)(x-2)(x-3) for how many polynomials R(x) of degree 3 such that P(Q(x))=P(x)*R(x)?

Assertion : 3x^(2)+x-1=(x+1)(3x-2)+1 . Reason : If p(x) and g(x) are two polynomials such that degree of p(x)ge degree of g(x) and g(x)ge0 then we can find polynomials q(x) and r(x) such that p(x)=g(x).q(x)+r(x) , where r(x)=0 or degree of r(x)lt degree of g(x) .

The polynomial p(x) is such that for any polynomial q(x) we have p(q(x))=q(p(x)) then p(x) is

A polynomial p(x) is devided by g(x) the obtained quotient q(x) and the remainder r(x) are given in the table. Find p(x) in each case. {:(S.I,p(x),g(x),q(x),r(x)),((a),?,x-2,x^2-x+1 ,4):}

p(x) is a polynomial of degree 1 and q(x) is a polynomial of degree 2. What kind of the polynomial p(x) xx q(x) is ?