Question

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

Answer 1

12x² + 11x + 2 = 0

Explanation:

Given the roots are x = -
`(2)/(3)` and x = -
`(1)/(4)` , then the corresponding factors are

(x +
`(2)/(3)` ) and (x +
`(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