Question

if ax^3-a^2 x^2-bx-b leaves remainder b when divided by x-a then find the value of a?

Answer 1

Answer:

-b

Step-by-step explanation:

equate x-a to zero

x-a=0

x=a

p(x)=ax³-a²x²-bx-b

p(a)=a(a)³-a²×a²-b(a)-b

     ⇒a^4-a^4-ab-b=b

      ⇒-ab-b=b

      ⇒b(-a-b)=b

     ⇒-a-b=b/b

      ⇒-a-b=1

      ⇒-a=b

        ⇒a=-b