Answer :
Answer:
12x² + 11x + 2 = 0
Step-by-step explanation:
Given the roots are x = - [tex]\frac{2}{3}[/tex] and x = - [tex]\frac{1}{4}[/tex] , then the corresponding factors are
(x + [tex]\frac{2}{3}[/tex] ) and (x + [tex]\frac{1}{4}[/tex] ) , that is
(3x + 2) and (4x + 1)
The equation is then the product of the factors
(3x + 2)(4x + 1) = 0 ← expand factors using FOIL
12x² + 11x + 2 = 0