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

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