Question

Write a quadratic function in standard form with zeros 3 and -8.

Answer 1

To write a quadratic function in standard form with zeros 3 and -8, multiply the factors (x - 3) and (x + 8). The resulting quadratic function is f(x) = x² + 5x - 24.

Step-by-step explanation:

In order to write a quadratic function in standard form with zeros 3 and -8, we can use the fact that the zeros of a quadratic function are the x-intercepts of its graph. Since the function has zeros at 3 and -8, we know that the factors of the quadratic function are (x - 3) and (x + 8).

To find the quadratic function, we can multiply these factors:

(x - 3)(x + 8) = x² - 3x + 8x - 24 = x² + 5x - 24.

Therefore, the quadratic function in standard form with zeros 3 and -8 is f(x) = x² + 5x - 24.