Question

One zero of the polynomial function f(x) = x3 − 9x2 + 20x is x = 0. What are the zeros of the polynomial function? 0, −5, −4 0, −5, 4 0, 5, −4 0, 5, 4

Answer 1

Answer: The answer is 0, 5, 4

Step-by-step explanation: I took the exam and got it right!

Answer 2

Answer:

Step-by-step explanation:

As x = 0 is a zero, (x + 0) is a factor.

Dividing the equation by (x + 0) leaves x² - 9x + 20.

Factoring this polynomial

x² - 9x + 20 = (x - 4)(x - 5)

x - 4 = 0

x = 4

x - 5 = 0

x = 5

The zeros are at 0, 4, and 5.

Which can be verified by using a plotting calculator.