Mathematics

The Remainder Theorem is your shortcut here: when you divide a polynomial $p(x)$ by a linear divisor like $x-2$, the remainder is simply $p(2)$—just plug in the value. This saves you from doing long division and gives you the answer instantly. Think of it as asking "what's left over?" by evaluating the polynomial at the point where the divisor equals zero.

The Remainder Theorem is your shortcut here: when you divide a polynomial $p(x)$ by a linear divisor like $x-2$, the remainder is simply $p(2)$—just plug in the value. This saves you from doing long division and gives you the answer instantly. Think of it as asking "what's left over?" by evaluating the polynomial at the point where the divisor equals zero.