If $x-2$ is a factor of $x^{3}-3 x^{2}+a x+24$ then $a=\ldots \ldots \ldots$
$-10$
$10$
$5$
$-5$
Write whether the following statements are True or False. Justify your answer.
$\frac{6 \sqrt{x}+x^{\frac{3}{2}}}{\sqrt{x}}$ is a polynomial, $x \neq 0$
If $x+2 a$ is a factor of $x^{5}-4 a^{2} x^{3}+2 x+2 a+3,$ find $a$
Write the coefficient of $x^{2}$ in the following polynomials
$5-7 x-3 x^{2}$
Factorise
$144 x^{2}-289 y^{2}$
If $(x-1)$ is a factor of $x^{3}+7 x^{2}+a x-3,$ then find the value of $a$.
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