Find the quotient and the remainder when $x^{3}+x^{2}-10 x+8$ is divided by

$x-2$

Classify the following as linear, quadratic or cubic polynomial

$x^{3}+5 x^{2}+12$

Write whether the statement are True or False. Justify your answer.

Every polynomial is a binomial

From the following polynomials find out which of them has $(x+1)$ as a factor

$x^{3}-2 x^{2}-5 x+6$

The value of $249^{2}-248^{2}$ is