From the following polynomials find out which of them has $(x+1)$ as a factor
$x^{3}+10 x^{2}+23 x+14$
$(x+1)$ is a factor.
Without finding the cubes, factorise $(x-y)^{3}+(y-z)^{3}+(z-x)^{3} .$
Evaluate the following products without multiplying directly
$76 \times 82$
Show that :
$x+3$ is a factor of $69+11 x-x^{2}+x^{3}$.
Dividing $x^{3}+125$ by $(x-5),$ the remainder is $\ldots \ldots \ldots .$
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
$x+1$
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