When the polynomial `5x^3+M x+N` is divided by `x^2+x+1,` the remainder is 0. Then find the value of `M+Ndot`

If the polynomial a-2x+5x^(2) is divided by x-2 , it leaves remainder 7 . Then, the value of a is

If the polynomial ax^(5)-23x^(2)+47x+1 is divided by x -2then remainder is 7. Find the value of a.

If the polynomial (x^(3)-3x^(2)+ax+18) is divided by (x-4), the remainder is 58. Find the value of a.

The polynomial 7x^(2)-11x+a when divided by x + 1 leaves a remainder of 8 . Then find the value of 'a' .

If the polynomial x^(3)+2x^(2)-alphax-12 is divided by (x-4) the remainder is 52 . Find the value of alpha .

When x^(3)+3x^(2)+4x+a is divided by (x+2) , the remainder is zero . Find the value of a.

When a polynomial P (x) is divided by x,(x-2)and (x-3), remainders are 1,3 and 2 respectively. If the same polynomial is divided by x(x-2)(x-3), the remainder is g(x), then the value of g(1) is

When a polynomial P(x) is divided by x,(x-2) and (x-3), remainders are 1,3 and 2 respectively.If the same polynomial is divided by x(x-2)(x-3), the remainder is ax^(2)+bx+c, then the value of c is

There is only one way to choose real numbers M and N such that when the polynomial 5x^4+4x^3+3x^2+Mx+N is divided by the polynomial x^2+1, the remainder is 0. If M and N assume these unique values, then M-N is

When a polynomial p(x) is divided by x-1, the remainder is 3. When p(x) is divided by x-3, the remainder is 5. If r(x) isthe remainder when p(x) is divided by (x-1)(x-3), then thevalue of r(-2) is