If $p(x) = x + 3,$ then $p(x) + p(-x)$ is equal to

Evaluate the following product without multiplying directly: $76 \times 82$

Classify the following as a linear,quadratic,or cubic polynomial:
$5 - 3t$

Write the coefficient of $x^{2}$ in the following polynomial:
$5-7 x-3 x^{2}$

Write whether the statement is True or False. Justify your answer.
The degree of the sum of two polynomials each of degree $5$ is always $5$.

On dividing $p(x) = x^{3} + 2x^{2} - 5ax - 7$ by $(x + 1)$,the remainder is $R_{1}$ and on dividing $q(x) = x^{3} + ax^{2} - 12x + 6$ by $(x - 2)$,the remainder is $R_{2}$. If $2R_{1} + R_{2} = 6$,then find the value of $a$.