" 7."x^(3)-x^(2)+ax+x-a-1

If 4x + 3a = 0 , then what is the value of (x^(2) + ax + a^(2))/(x^(3) - a^(3)) -(x^(2) -ax + a^(2))/(x^(3) + a^(3)) ?

Factorize the following expressions x^3-x^2+ax+x-a-1

If the order of ax^(5) + 3x^(4) + 4x^(3) + 3x^(2) + 2x +1 is 4 then a = …………..

On dividing x^(3) - 3x^(2) -7 by x^(2) - 2x + 4 , if the remainder is in the form of Ax+B , find the values of A and B.

The polynomials 3x^(3)-ax^(2)+5x-13 and (a+1)x^(2)-7x+5 leaves the same remainder when divided by x-3. Find the value of 'a'.

Let (x-1) is a factor of x^(4)-7ax^(2)+3bx+9 and (x-2) is a factor of (x^(3))/(8)+(3bx^(2))/(4)+ax+1 ,then (27)/(2)|a+b| is

Let R_(1) and R_(2) are the remainders when the polynomials x^(3)+2x^(2)-5ax-7 and x^(3)+ax^(2)-12x+6 are divided by x+1 and x-2 respectively.If 2R_(1)+R_(2)=6, find the value of a.

Let R_(1) and R_(2) are the remainders when the polynomials x^(3)+2x^(2)-5ax-7 and x^(3)+ax^(2)-12x+6 are divided by x+1 and x-2 respecti-vely.If 2R_(1)+R_(2)=6, find the value of a.