What are the zeros of f(x) = x2 – 10x + 25? a. x = –5 and x = 10 b. x = –5 only c. x = –5 and x = 5 d. x = 5 only

The zeros of a function are also known as the roots of the function

The correct option for  the zeros of f(x) = x² - 10·x + 25 is the option D.

D. x = 5 only

The reasons why the selected option is correct are given as follows:

The given equation is presented as follows;

f(x) = x² - 10·x + 25

Solution:

The zeros are the values of x when the equation is equal to zero which is given as follows;

x² - 10·x + 25 = 0

By observation, we have;

Given that the coefficient of x² is one, and we have that 25 = (-5) × (-5), and -10 = -5 + (-5), therefore, we can write;

Therefore, the zeros of the function is 5 only, and the correct option is option D.

Learn more about the zeros of a function here:

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step-by-step explanation: