" 20.If "x^(3)+px+r" and "3x^(2)+p" have a common factor,then value of "(p^(3))/(27)+(r^(2))/(4)" ."

If x^(3)+px+r and 3x^(2)+p have common factor

If f(x)=x^(2)+5x+p and g(x)=x^(2)+3x+q have a common factor, then (p-q)^(2)=

If equations x^(3)+3px^(2)+3qx+r=0 and x^(2)+2px+q=0 have a common root,show that 4(p^(2)q)(q^(2)pr)=(pqr)^(2)

If x^(2)-3x+2=0,3x^(2)+px+q=0 have two roots common then the value of p and q is

If the equations px^(2)+qx+r=0 and rx^(2)+qx+p=0 have a negative common root then the value of (p-q+r)=

If (x-3) is a factor of (x^2+4px-11p) then what is the value of p

If x-4 is a factor of x^(3) - 5x^(2) - px + 24 , find the value of p.

If all the equations x^(2)+px+10,x^(2)+qx+8=0 and x^(2)+(2p+3q)x+60=0 where p,q in R have a common root,then the value of (p-q) can be (i) -1( ii) 0( iii) 1 (iv) 2

If the equations x^(3)+x^(2)-4x=4 and x^(2)+px+2p=0(p in R) have two roots common,then the value of p is