Answer:
see explanation
Step-by-step explanation:
To find the zeros equate g(x) to zero, that is
(3x - 1)(2x + 5)(7x - 14)² = 0
Equate each factor to zero and solve for x
3x - 1 = 0 ⇒ 3x = 1 ⇒ x = [tex]\frac{1}{3}[/tex]
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - [tex]\frac{5}{2}[/tex]
(7x - 14 )² = 0 ⇒ 7x - 14 = 0 ⇒ x = 2 with multiplicity 2
