`ax^(4)+bx^(3)+cx^(2)+dx+e`

If ax^(4)+bx^(3)+cx^(2)+dx is exactly divisible by x^(2)-4 then (a)/(c) is ______.

In the equation ax^(4)+bx ^(3)+cx ^(2) -dx=0,a,b,c and d are constants. If the equations crosses the x-axis at 0,-2,3,and 5 which of the following is a factor of ax ^(4)+bx ^(3)+cx ^(2)-dx ?

If alpha, beta, gamma, delta are roots of ax^(4) + 4bx^(3) + 6cx^(2) + 4dx + e = 0, then sum alpha^(2) beta =

If x^(2)-1 is a factor of ax^(4)+bx^(3)+cx2+dx+e, Show that a+c+e=b+d=0

If sin^(2)A=x and Pi sin(rA)=ax^(2)+bx^(3)+cx^(4)+dx^(5) then value of a+b+c+d is

Let f(x)=ax^(5)+bx^(4)+cx^(3)+dx^(2)+ ex , where a,b,c,d,e in R and f(x)=0 has a positive root. alpha . Then,

Let f(x)=ax^(5)+bx^(4)+cx^(3)+dx^(2)+ ex , where a,b,c,d,e in R and f(x)=0 has a positive root. alpha . Then,

Perform the division: (ax ^(3) - bx ^(2) + cx) div (-dx)

If the roots of ax^(3) + bx^(2) + cx +d = 0 are in A.P then the roots of dx^(3) + cx^(2) + bx + a = 0 are in