The problem asks us to evaluate the polynomial function $p(x) = 3x^2 - 7x - 10$ at $x=3$, i.e., to find $p(3)$.

1. Problem Description

The problem asks us to evaluate the polynomial function $p(x) = 3x^2 - 7x - 10$ at $x=3$, i.e., to find $p(3)$.

2. Solution Steps

We are given the polynomial $p(x) = 3x^2 - 7x - 10$.

We want to find $p(3)$, so we substitute $x=3$ into the expression for $p(x)$:

$p(3) = 3(3)^2 - 7(3) - 10$

Now, we simplify the expression:

$p(3) = 3(9) - 21 - 10$

$p(3) = 27 - 21 - 10$

$p(3) = 6 - 10$

$p(3) = -4$

3. Final Answer

-4