Question

Find the remainder when (2x^2 +2x+1) is divided by ( x+1)

Answer 1

Use the remainder theorem, which says the remainder upon dividing a polynomial
`p(x)` by
`x-c` is exactly
`p(c)`. In this case,

`p(x)=2x^2+2x+1`

`c=-1`

`\implies p(c)=2(-1)^2+2(-1)+1=\boxed{1}`