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`

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

When the polynomial 2x^(3)-kx^(2)+(5k-3)x-8 is divided by x-2 the remainder is 14. Find the value of 'k'.

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

When the polynomial x^(3)+2x^(2)-5ax-7 is divided by (x - 1), the remainder is A and when the polynomial. x^3+ax^2-12x+16 is divided by (x + 2), the remainder is B. Find the value of 'a' if 2A + B = 0.

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

When x^(3)+3x^(2)-mx+4 is divided by x -2, the remainder is m + 3. Find the value of m.

The quotient is x^2-5x+6 when the polynomial p(x) is divided by (x-1), and the remainder is 7.Then:- Find P(2).

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

The polynomial p(x)=x^4-2x^3+3x^2+3a-7 when divided by x+1 leaves the remainder 19. find the value of a. also find the remainder when p(x) is divided by x+2.