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
$x-6$
$140$
$110$
$95$
$120$
Expand
$(2 x+5 y)^{2}$
If $a+b+c=9$ and $a b+b c+c a=26,$ find $a^{2}+b^{2}+c^{2}.$
By using the factor theorem, show that $(x-3)$ is a factor of the polynomial $12 x^{3}-31 x^{2}-18 x+9$ and then factorise $12 x^{3}-31 x^{2}-18 x+9$
$(a-2 b+7 c)^{2}$
$(2 a+3 b)^{2}$
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