With the help of the remainder theorem. find the remainder when the polynomial $x^{3}+7 x^{2}+17 x+25$ is divided by $x+4$

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

$x^{3}+6 x^{2}-9 x-14$

Factorise

$9 x^{2}-21 x y+10 y^{2}$

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

$x+4$

Write the degree of each of the following polynomials

$8 x^{5}+3 x^{2}-4 x+7$