Factorise the following quadratic polynomials by splitting the middle term
$x^{2}-4 x-77$
$(x+7)(x-11)$
The polynomial $p(x)=x^{4}-2 x^{3}+3 x^{2}-a x+3 a-7$ when divided by $x+1$ leaves the remainder $19 .$ Find the values of $a .$ Also find the remainder when $p(x)$ is divided by $x+2.$
Expand the following:
$(3 a-2 b)^{3}$
$x^{2}+10 x+16$
Factorise $: x^{3}+x^{2}-26 x+24$
Expand
$\left(x-\frac{1}{2}\right)^{2}$
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