Answer:
f(x) = (4x - 1)(2x + 1)
The zeros of the function are [tex]x = \frac{1}{4}[/tex] and [tex]x = - \frac{1}{2}[/tex].
Step-by-step explanation:
The given quadratic expression is 8x² - 2x - 3.
Now, the factorization of this quadratic expression gives:
f(x) = 8x² - 2x - 3
⇒ f(x) = 8x² - 6x + 4x - 3
⇒ f(x) = 2x(4x - 3) + 1(4x - 3)
⇒ f(x) = (4x - 1)(2x + 1)
Hence, the zeros of the function are [tex]x = \frac{1}{4}[/tex] and [tex]x = - \frac{1}{2}[/tex]. (Answer)
