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
$x+4$
$80$
$71$
$52$
$65$
Find the quotient and the remainder when $2 x^{2}-7 x-15$ is divided by
$x-2$
Give possible expressions for the length and breadth of a rectangle whose area is given as $\left(20 x^{2}+22 x+6\right)$ square units. $(x>0)$
Factorise
$x^{3}-8 y^{3}-27-18 x y$
Evaluate
$(215)^{2}$
Factorise each of the following
$8 x^{3}+27 y^{3}+36 x^{2} y+54 x y^{2}$
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