Question

Find the equation whose rootsare -2/3 and -1/4​

Answer 1

Answer:

12x² + 11x + 2 = 0

Step-by-step explanation:

Given the roots are x = - $\frac{2}{3}$ and x = - $\frac{1}{4}$ , then the corresponding factors are

(x + $\frac{2}{3}$ ) and (x + $\frac{1}{4}$ ) , 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