Question

What are the zeros of the polynomial function?

f(x)=x2−12x+20

Answer 1

To find the zeros of the polynomial function, we set f(x) = 0 and solve for x:

0 = x^2 - 12x + 20

This is a quadratic equation, so we can use the quadratic formula to solve for x:

x = [-(-12) ± sqrt((-12)^2 - 4(1)(20))] / 2(1)
x = [12 ± sqrt(144 - 80)] / 2
x = [12 ± sqrt(64)] / 2
x = [12 ± 8] / 2

So the two zeros of the polynomial function are:

x = (12 + 8) / 2 = 10
x = (12 - 8) / 2 = 2

Therefore, the zeros of the polynomial function f(x) = x^2 - 12x + 20 are x = 10 and x = 2.