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
$x-6$
$140$
$110$
$95$
$120$
Without actually calculating the cubes, find the value of :
$\left(\frac{1}{2}\right)^{3}+\left(\frac{1}{3}\right)^{3}-\left(\frac{5}{6}\right)^{3}$
Write the coefficients of $x^{2}$ in each of the following polynomials
$3 x^{3}-8 x^{2}+14 x-5$
Write the coefficient of $x^{2}$ in each of the following:
$(i)$ $\frac{\pi}{6} x+x^{2}-1$
$(ii)$ $3 x-5$
Evaluate
$(101)^{2}$
If $x-2$ is a factor of $x^{3}-3 x^{2}+a x+24$ then $a=\ldots \ldots \ldots$
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