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
$x+4$
$80$
$71$
$52$
$65$
From the following polynomials find out which of them has $(x-1)$ as a factor
$x^{3}+4 x^{2}+x-6$
Write the coefficients of $x^{2}$ in each of the following polynomials
$4+7 x+3 x^{2}$
Without actually calculating the cubes, find the value of each of the following
$\left(\frac{1}{2}\right)^{3}+\left(\frac{1}{3}\right)^{3}-\left(\frac{5}{6}\right)^{3}$
Factorise the following:
$\left(2 x+\frac{1}{3}\right)^{2}-\left(x-\frac{1}{2}\right)^{2}$
State whether each of the following statements is true or false
In polynomial $5 x^{3}-3 x^{2}+11 x-14,$ the coefficient of $x^{3}$ is $3.$
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