Polynomial Function:

The given polynomial function is p(x) = x³ + 2x² - 5x - 6.

Finding p(2):

To find p(2), we substitute the value of x as 2 in the function p(x).

p(2) = (2)³ + 2(2)² - 5(2) - 6
= 8 + 8 - 10 - 6
= 16 - 10 - 6
= 6

Therefore, p(2) equals 6.

Finding p(0):

To find p(0), we substitute the value of x as 0 in the function p(x).

p(0) = (0)³ + 2(0)² - 5(0) - 6
= 0 + 0 - 0 - 6
= -6

Therefore, p(0) equals -6.

Explanation:

The polynomial function p(x) is given as x³ + 2x² - 5x - 6. To evaluate p(2), we substitute the value of x as 2 in the function. Similarly, to evaluate p(0), we substitute the value of x as 0 in the function.

When we substitute x = 2 in the function, we get p(2) = 6. This means that when x is equal to 2, the value of the polynomial function is 6.

When we substitute x = 0 in the function, we get p(0) = -6. This means that when x is equal to 0, the value of the polynomial function is -6.

Hence, the values of p(2) and p(0) are 6 and -6, respectively.