Question

how to find this please explain

Answer 1

put x= -a then solve equation.

as(x-a) =0
=>x= -a

Answer 2

Given Equation is f(x) = x^3 + ax^2 - 2x + a + 4.

Given (x + a) is a factor of f(x).

By remainder theorem,

x + a = 0

x = -a.

Substitute x = -a in f(x), we get

f(-a) = (-a)^3 + a(-a)^2 - 2(-a) + a + 4 = 0

        -a^3 + a^3 + 2a + a + 4 = 0

        3a + 4 = 0

        3a = -4

         a = -4/3.


Hope this helps!