Question

x cube +3xsquare +3x+1 put the value of x=-x​

Answer 1

Ans.  ∴ The zero of x + 1 is –1

               And by remainder theorem, when

               p(x) = x3 + 3x2 + 3x + 1 is divided by x + 1, then remainder is p(–1).

               ∴ p(–1) = (–1)3 + 3 (–1)2 + 3(–1) + 1

               = –1 + (3 × 1) + (–3) + 1

               = –1 + 3 – 3 + 1

               = 0

               Thus, the required = 0