Find the remainde

Let p(x) = x³ + 3x² + 3x + 1

As we know by Remainder Theorem,

If a polynomial p(x) is divided by a linear polynomial (x – a) then, the remainder is p(a)

⇒ Remainder of p(x) when divided by x + π is p(–π)

p(–π) = (–π)³+ 3(–π)²+ 3(–π) + 1

⇒ p(–π)= –π³ + 3π² –3π + 1

∴ Remainder of x³ + 3x² + 3x + 1 when divided by x+ π is –π³ + 3π² –3π + 1