Question

p (x) is polynomial . Here are a few values of p(x). p(-5)=-2 p(-3) =6 p(3)=7 p(5)=-1 what is the remainder when p (x) is divided by (x+5)? what is the remainder when p(x) is divided by (x-3)?​

Answer 1

Answer:

By the remainder theorem ,

p(a)= the remainder when p(x) is divided by (x-a)

p(-1)= the remainder when p(x) is divided by {x-(-1)}, i.e.(x+1)

Since it is given that p(-1)=3 ,

3 is the required remainder