Question

. If (x + a) is factor of ma – nx – 3x2 then find the value of a.

Answer 1

Hi,

if (x+a) is a factor, then x=-a is a root of the equation,

substituting (-a) in place of x in the equation,

a²-n*a-6=0 is a quadratic equation in a,

applying the formula for roots of the equation, we get

n±√(n²+24)/2

so the values of a are:

n+√(n²+24)/2 and n-√(n²+24)/2

Hope it helps!