Find the value of each of the following polynomials at the indicated value of variables : $p(t)=4 t^{4}+5 t^{3}-t^{2}+6$ at $t=a$.

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$p(t)=4 t^{4}+5 t^{3}-t^{2}+6$

The value of the polynomial $p(t)$ at $t=a$ is given by

$p(a)=4 a^{4}+5 a^{3}-a^{2}+6$

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