Find the value of each of the following polynomials at the indicated value of variables

$p(t)=5 t^{2}-11 t+7$ at $t=a$

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$p(t)=5 t^{2}-11 t+7$

Replacing $t$ by $a,$ we get

$p(a)=5(a)^{2}-11(a)+7=5 a^{2}-11 a+7$

Therefore, the value of $p(t)$ at $t=a$ is $5 a^{2}-11 a+7$

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