Find the value of the polynomial $3 x^{3}-4 x^{2}+7 x-5,$ when $x=-3$

Evaluate the following products without multiplying directly

$88 \times 86$

$x+1$ is a factor of the polynomial

Prove that $(a+b+c)^{3}-a^{3}-b^{3}-c^{3}=3(a+b)(b+c)(c+a).$

Show that :

$x+3$ is a factor of $69+11 x-x^{2}+x^{3}$.

By using the factor theorem, show that $(x+2)$ is a factor of the polynomial $6 x^{3}+19 x^{2}+16 x+4$ and then factorise $6 x^{3}+19 x^{2}+16 x+4$