Quotient of $x^{3} - 1$ divided by $(x - 1)$ is

Quotient of $x^{3} - 1$ divided by $(x - 1)$ is
  1. $x^{2} + x + 1$
  2. $x^{2} - x + 1$
  3. $x^{2} + 1$
  4. $x^{2} - 1$

Solution

$x^{3} - 1 = (x-1)(x^{2} + x + 1)$.

Asked in: MH-SSC-9

Practice more Polynomials questions on Aicharya