Find the values of m and n, if `(x -m) and (x - n)` are the factors of the expression `x^2 +mx -n`.

Find the values of m and n so that x-1 and x + 2 both are factors of x^3+(3m+1)x^2+nx-18 .

If the polynomial f(x) = 2x^3 + mx^2 + nx - 14 has (x - 1) and (x + 2) as its factors, find the value of m x n.

5m -n = 3m+4n then find the value of the expressions: (m^2+n^2)/(m^2-n^2)

Find the values of m and n if the following expression are perfect squares. x^(4)-8x^(3)+mx^(2)+nx+16

if (x+2) and (x-1) are the factors of (x^(3)+10x^(2)+mx+n), then the values of m and n are:-

Find the values of m and n if the following expression are perfect squares. (1)/(x^(4))-(6)/(x^(3))+(13)/(x^(2))+(m)/(x)+n