Question 16
Let's say two whole coefficient polynomials $p$ and $q$ They are similar if they have the same degree and the same coefficients under the order.
a. prove that if $p$ and $q$ They are similar then $p(2007)-q(2007)$ is a multiple of $2$.
b. There are integers $k\gt 2$ such that, however, two similar polynomials are given $p$ and $q$, $p(2007)-q(2007)$ is a multiple of $k$?
a. prove that if $p$ and $q$ They are similar then $p(2007)-q(2007)$ is a multiple of $2$.
b. There are integers $k\gt 2$ such that, however, two similar polynomials are given $p$ and $q$, $p(2007)-q(2007)$ is a multiple of $k$?