Factorise

$169 x^{2}-625$

On dividing $p(x)=x^{3}+2 x^{2}-5 a x-7$ by $(x+1),$ the remainder is $R _{1}$ and on dividing $q(x)=x^{3}+a x^{2}-12 x+6$ by $(x-2), \quad$ the remainder is $R _{2} .$ If $2 R _{1}+ R _{2}=6,$ then find the value of $a$.

Find the zeroes of the polynomial in each of the following:

$g(x)=3-6 x$

Classify the following as linear, quadratic or cubic polynomial

$4 x^{2}-49$

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

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

Write the degree of each of the following polynomials

$a x^{3}+b x^{2}+c x+d$