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