if`-1/2+ibeta`, is a root of `2x^3 + bx^2 + 3x + 1 = 0` , then find the value(s) of `b`

If -(1)/(2)+i beta is a root of the equation 2x^(3)+bx^(2)+3x+1=0 then find the value

If 1,2,3 and 4 are the roots of x^4+ax^3+bx^2+cx+d=0 , then find the values of a,b,c and d.

If x-1 is a common factor of x^(2)+ax+3 and x^(2)-bx+2 then find the value of b-a

If alphaandbeta be the roots of the equation 5x^(2)+2x-3=0 , then find the values of ((1)/(alpha)+(1)/(beta))

If the one root of x^2+bx+12=0 is 2 and roots of x^2+bx+q=0 are equal , then find the value of q.

Suppose 1,2,3 are the roots of the equation x^4 + ax^2 + bx + c = 0 . Find the value of c.

If p and q are the roots of the equations x^(2) - 3x+ 2 = 0 , find the value of (1)/(p) - (1)/(q)

If (x+1) is a factor of 2x^(3)+ax^(2)+2bx+1 , then find the value of a and b given that 2a-3b=4.

If (x+1) is a factor of 2x^(3)+ax^(2)+2bx+1 , then find the value of a and b given that 2a-3b=4.