Answer:
f(x) = 2x² - 7x + 3
Step-by-step explanation:
Given the roots are x = [tex]\frac{1}{2}[/tex] and x = 3, then the corresponding factors are
(x - [tex]\frac{1}{2}[/tex] ) and (x - 3), that is
(2x - 1) and (x - 3)
The equation is then the product of the roots, that is
f(x) = (2x - 1)(x - 3) ← expand factors using FOIL
f(x) = 2x² - 7x + 3 ← in standard form
