Find the quotient and the remainder when $2 x^{2}-7 x-15$ is divided by

$2 x+1$

Without finding the cubes, factorise $(x-y)^{3}+(y-z)^{3}+(z-x)^{3} .$

Expand

$(x+4)(x+9)$

If $p(x)=x^{2}-4 x+3,$ evaluate $: p(2)-p(-1)+p\left(\frac{1}{2}\right)$

For the polynomial $p(x),$ if $p(7)=0,$ then .......... is a factor of $p(x)$.

State whether each of the following statements is true or false

$x^{2}-5 x+4$ is a linear polynomial.