If `f(x)=2x^3+mx^2-13x+n` and 2 and 3 are 2 roots of the equations f(x)=0, then values of m and n are

If x=2 and x=3 are roots of the equation 3x^(2)-mx+2n=0 , then find the values of m and m.

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

If 2,3 are the roots of the equation 2x^3+px^2-13x+q=0 then (p,q) is

If two roots of the equation x^(3)+mx^(2)+11x-n=0 are 2 and 3 then (m+n)=

If alpha,beta are the roots of the equation x^(2)-mx+n=0 the value of (1+a+a^(2))(1+beta+beta^(2)) is

Let f(x)=ax^(2)+bx+c, where a,b,c,in R and a!=0, If f(2)=3f(1) and 3 is a roots of the equation f(x)=0, then the other roots of f(x)=0 is

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.

If f(x)=4x^(2)+3x-7 and alpha is a common root of the equation x^(2)-3x+2=0 and x^(2)+2x-3=0 then the value of f(alpha) is