Question

If (x-a) is a factor of the polynomial (x^3-ax^2+2x+a-1 ) find a .​

Answer 1

Answer:

as per your question,

Step-by-step explanation:

if , (x-a) is a factor of the polynomial (x^3-ax^2+2x+a-1 )

and we find a

so,

let ,g(x)= x-a

and , x-a = 0

so, x= a

and , p(x) = x^3-ax^2+2x+a-1

then , p(a) = 0

so , a^3 - a^3 + 2a+ a - 1= 0

then , 3a = 1

so, a= 1 by 3