Solving the quadratic function, it is found that the factors/zeros of the function are given by x = -1.5 and x = 5.
They are given by the solutions of the function, that is, the values of x for which f(x) = 0.
In this problem, the function is given by:
f(x) = -2x² + 7x + 15.
Then:
-2x² + 7x + 15 = 0.
Which is a quadratic function with coefficients a = -2, b = 7, c = 15, hence:
[tex]\Delta = 7^2 - 4(-2)(15) = 169[/tex]
[tex]x_1 = \frac{-7 + \sqrt{169}}{2(-2)} = -1.5[/tex]
[tex]x_2 = \frac{-7 - \sqrt{169}}{2(-2)} = 5[/tex]
The factors/zeros of the function are given by x = -1.5 and x = 5.
More can be learned about quadratic functions at https://brainly.com/question/24737967
#SPJ2
