Respuesta :

alexmaya980

Answer:

x= -3 x=4

Step-by-step explanation:

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The zeros of the given function are 4 and -3.

What are Zeros of a function?

  • Zeros of the function can be determined by making the function value to zero.
  • By solving the function we will get the roots of the function that will make the function to attain the zero value.
  • This method is useful in finding the roots of the polynomial function.

Given: Quadratic Equation

f(x) = x² - x - 12

To find the zeros of the given quadratic function, we have to make the function zero and we have to find the roots of the equation by solving for  the value of x.

⇒ f(x)= 0

⇒ x² - x - 12 = 0

⇒ x² - 4x + 3x - 12 = 0

⇒ x(x - 4) + 3(x - 4) = 0

⇒ (x - 4)(x + 3) = 0

⇒ (x - 4) = 0 and (x + 3) = 0

∴ x - 4 = 0

⇒ x = 4

∴ x + 3 = 0

⇒ x = -3

Therefore, the zeros of the given function are 4 and -3.

Learn more about the Zeros of a function here: https://brainly.com/question/16306579

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