Which of the following is a zero of the function P(x) = x³ + 8x² + 5x - 50?Select one:a. 5b. -5c. -2d. 25

To find the zero of the function P(x) = x³ + 8x² + 5x - 50, we need to substitute each of the given options into the function and see which one makes the function equal to zero.

Let's start with option a. 5:

P(5) = (5)³ + 8(5)² + 5(5) - 50 = 125 + 200 + 25 - 50 = 300 ≠ 0

So, 5 is not a zero of the function.

Next, let's try option b. -5:

P(-5) = (-5)³ + 8(-5)² + 5(-5) - 50 = -125 + 200 - 25 - 50 = 0

So, -5 is a zero of the function.

We don't need to check the other options because we've found the correct answer. Therefore, the answer is b. -5.