" If "p(x),q(x)" and "r(x)" are three polynomials of degree "2," then prove that "

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 .

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 .

p(x)=sqrt(2) is a polynomial of degree

If f(x) and g(x) are polynomials of degree p and q respectively, then the degree of {f(x) pm g(x)} (if it is non-zero) is

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) .

If (x-1) is the factors fo polynomial x^3-px+q , then prove that p-q=1

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 ?