The table abvoe gives some value of the functions p, q, and r. At which value x does `q(x)=p(x)+r(x)`?

The table gives some values of the functions p, q and r. At which value of x does q(x)=p(x)+r(x) ?

The function p is defined as p(x)= x^2-3x . If the function q is defined as q(x)=p(x)-4, what is the value of q(10)?

If p and q are the roots of the equation x^2 - 15x + r = 0 and. p - q = 1 , then what is the value of r?

(i) Give examples of polynomials p(x), g(x), q(x) and r(x) , which satisfy the division algorithm and deg p(x)=deg q(x) (ii) Give examples of polynomials p(x), g(x), q(x) and r(x) , which satisfy the division algorithm and deg q(x)=deg r(x) (iii) Give examples of polynomials p(x), g(x), q(x) and r(x) , which satisfy the division algorithm and deg r(x)=0

If x=(p+q)/(p-q) and y=(p-q)/(p+q) then the value of (x-y)/(x+y) is

f(x) = x^(2) + px + q . If p = 2q and the function has a value of 16 at x = 3, what is the value of p ?

The value of {:[(x,p,q),(p,x,q),(p,q,x)]:} is

The function 'f' is defined by f(x)=x^p(1-x)^q for all x\ in R , where p ,\ q are positive integers, has a maximum value, for x equal to : (p q)/(p+q) (b) 1 (c) 0 (d) p/(p+q)