By remainder Theorem find the remainder, when $p(x)$ is divided by $g(x),$ where

$p(x)=4 x^{3}-12 x^{2}+14 x-3, g(x)=2 x-1$

Factorise

$4 x^{2}+9 y^{2}+49 z^{2}-12 x y+42 y z-28 z x$

With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors

$x-4$

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

$6 x^{3}+11 x^{2}-5 x-12$

Expand

$(2 x-7)(2 x-5)$