Which of the following is a polynomial function in standard form with zeros at - 6, 2, and 5?

f (x) = (x + 6) (x - 2) (x - 5)

f (x) = x3 + x2 - 32x - 60

f (x) = x3 - x2 - 32x + 60

f (x) = (x - 6) (x + 2) (x + 5)

Option C is correct.

Step-by-step explanation:

We need to find the polynomial function in standard form with zeros at - 6, 2, and 5

If a is a zero of polynomial then x-a is the factor of polynomial

So, (x+6) (x-2) (x-5) are factors of polynomial.

Multiplying these factors to find the standard polynomial function

(x+6) (x-2) (x-5)

We need to solve this:

(x+6) (x^2-5x-2x+10)

(x+6) (x^2-7x+10)

x^3-7x^2+10x+6x^2-42x+60

x^3-7x^2+6x^2+10x-42x+60

x^3-x^2-32x+60

So, Option C f (x) = x3 - x2 - 32x + 60 is correct.