The quadratic equation that defines the function that has -8 and 6 as zeroes is A) which is [tex]X^{2}[/tex] + 2x-48 = 0.
what are zeroes of a function?
Zeros of a function are values of that function that renders the function equal to zero(0).
Analysis:
If -8 and 6 are the x roots of a certain quadratic equation,
then, x = 6 or x = - 8
which means x-6 = 0 or x+8 = 0 are factors of this quadratic equation.
(x-6)(x+8) = 0
By expanding
[tex]X^{2}[/tex]+8x-6x-48 = 0
[tex]X^{2}[/tex] + 2x - 48 = 0.
In conclusion, the quadratic equation that defines the function that has zeros at -8 and 6 is [tex]X^{2}[/tex] +2x -48 = 0.
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