# What are the zeros of the polynomial function f(x) = x^{3} - 9x^{2} + 20x?

**Solution:**

The given function is

f(x) = x^{3} - 9x^{2} + 20x

Let us take out x as common

f(x) = x(x^{2} - 9x + 20)

Now by splitting the middle term

f(x) = x(x^{2} -4x - 5x + 20)

So we get

f(x) = x [x(x - 4) - 5(x - 4)]

f(x) = x(x - 4)(x - 5)

Here

x = 0

x - 4 = 0 where x = 4

x - 5 = 0 where x = 5

Therefore, the zeros of the polynomial function is x = 0 or x = 4 or x = 5.

## What are the zeros of the polynomial function f(x) = x^{3} - 9x^{2} + 20x?

**Summary:**

The zeros of the polynomial function f(x) = x^{3} - 9x^{2} + 20x is x = 0 or x = 4 or x = 5.

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