Question

Find the value of $a$, if $(x-a)$ is a factor of $x^3-a{x}^2+x+2$

Answer 1

x-a=0

x=a

and,

p(x) = x^3-ax^2+x+2

substituting x=a in p(x) we get,

a^3-a*a^2+a+2=0

a^3-a^3+a+2=0

a+2=0

a=-2