Question

Please help explain...

Use the remainder theorem to find the remainder resulting from the division:


(x^2 + 5x - 1) ÷ (x - 1)

Answer 1

The remainder theorem says that dividing a polynomial
`p(x)` by
`x-c` leaves a remainder equal to
`p(c)`.

Here we have
`p(x)=x^2+5x-1` and
`c=1`. So the remainder would be

`p(1)=1^2+5(1)-1=5`