If `x^2+ax+1=0` is a factor of `ax^3+ bx + c`, then which of the following conditions are not valid

If (x+1)and(x-1) are the factors of ax^(3)+bx^(2)+cx+d , then which of the following is true?

If (x-1)^(2) is a factor of ax3+bx2+c, find the value of a+b+c

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 If the roots of the equation 3ax^(2)+ 2bx + c = 0 are in the ratio 2:3 , then which one of the following is correct ?

If x^(2)+px+1 is a factor of the expression ax^(3)+bx+c ,then

If x^(2)-1 is a factor of ax^(3)+bx^(2)+cx+d show that a+c=0

Find the number of quadratic polynomials ax^2 + 2bx + c which satisfy the following conditions :(i) a, b, care distinct (ii) a, b, c in {1, 2, 3, ......... 2001, 2002}(iii) x + 1 divides ax^2 + 2bx + c