`R_1` and R_2` are the remainders when polynomials `ax^3 +3x-3` and `2x^3 -5x +2a` are divided by `(x-4)`. If `2R_1 -R_2 =0`, find the value of a.

R_1 and R_2 are the remainders when the polynomials ax^3+3x^2-3 and 2x^3-5x+2a are divided by (x-4) respectively . If 2R_1 -R_2 =0 , then find the value of a .

Using remainder theorem , find the remainder when : x^3 - 3x^2 + x + 1 is divided by x-1

Using remainder theorem , find the remainder when : 3x^3 - 4x^2 + 4x - 2 is divided by x + 2

Find the factors of the polynomial . 1/2x^2-3x+4

Using remainder theorem , find the remainder when : x^4 - 5x^2 - 4x is divided by x + 3 .

Polynomials bx^2 +2x+3 and bx^3 -3x+4 are divided by the polynomial (x-3) and the remainders are m and n respectively. If m+n =-8 , find the value of b.

Using remainder theorem , find the remainder when : 3x^2 + 4x - 5 is divided by x - 2

Using remainder theorem, find the remainder when: x^3-ax^2+2x-a is divided by x-a