Range of expression of form `(ax^2+bx+c)/(px^2+qx+r)`

Find the derivative of (ax^(2)+bx+c)/(px^(2)+qx+r)

If x+3 is the common factor of the expreassions ax^(2) + bx + 1 and px^(2) + qx - 3 , then - ((9a+3p))/(3b+q) = "______" .

Please explain Range of quadratic expression f(x)=ax^(2)+bx+c

Let a, b, c be three distinct real numbers such that each of the expressions ax^+bx +c, bx^2 + cx + a and ax^2 + bx + c are positive for all x in R and let alpha=(bc +ca+ab)/(a^2+b^2+c^2) then (A)alpha 1/4 (D) alpha>1

Differentiate the following function with respect of x backslash:(ax^(2)+bx+c)/(px^(2)+qx+r)

What will the quotient and remainder be on division of ax^(2) + bx + c by px^(5) + rx + 5, p ne 0

Differentiate the following function with respect of x:(ax+b)/(px^(2)+qx+r)

Consider two quadratic expression f(x)=ax^(2)+bx+c and g(x)=ax^(2)+px+q,(bnep) such that their discriminants are equal. If f(x)=g(x)"has a root"x=alpha, then:

Consider two quadratic expressions f(x)=ax^(2)+bx+c and g(x)=ax^(2)+px+c,(a,b,c,p,q in R,b!=p) such that their discriminants are equal.If f(x)=g(x) has a root x=alpha , then

Factoris the expression. ax ^(3) - bx ^(2) + cx