Question

Which of these functions has exactly two different zeros?

OA /(x)=x+4
10
B g(x) = 3x - 10
3
ch(x) = x² - 4x +4
Dk(x)=x² +11x + 24

Answer 1

The function ch(x) = x² - 4x +4 has exactly two different zeros.

Step-by-step explanation:

The function that has exactly two different zeros is ch(x) = x² - 4x +4. To find the zeros of a function, we set the function equal to zero and solve for x. For ch(x), let's solve x² - 4x +4 = 0. Using the quadratic formula, we have:

x = (-b ± sqrt(b² - 4ac)) / (2a)

Plugging in the values for a, b, and c from ch(x), we get:

x = (4 ± sqrt((-4)² - 4(1)(4))) / (2(1))

Simplifying, we get:

x = (4 ± sqrt(0)) / 2

Since the discriminant is 0, we only have one real root, which means ch(x) has exactly two different zeros.

Learn more about Finding zeros of a quadratic function