State whether each of the following statements is true or false

$x^{2}-8 x+12=(x-6)(x-2)$

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True

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Find the zero of the polynomial in each of the following cases

$p(x)=\frac{2}{3} x+\frac{5}{4}$

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$p(x)=10 x-4 x^{2}-3$

If $x+1$ is a factor of $a x^{3}+x^{2}-2 x+4 a-9,$ find the value of $a$.

Zero of the zero polynomial is

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

$x-1$